TSTP Solution File: GEO258+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n020.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 15:18:47 EDT 2022
% Result : Theorem 0.11s 0.56s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.02/0.07 % Command : goeland -dmt -presko -proof %s
% 0.07/0.26 % Computer : n020.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Wed Aug 31 07:14:30 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.27 [DMT] DMT loaded with preskolemization
% 0.11/0.27 [EQ] equality loaded.
% 0.11/0.27 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.27 Conjecture not found
% 0.11/0.27 Start search
% 0.11/0.27 nb_step : 1 - limit : 32
% 0.11/0.27 Launch Gotab with destructive = true
% 0.11/0.54 % SZS output start Proof for theBenchmark.p
% 0.11/0.55 [0] ALPHA_AND : ((! [A20_20] : (~distinct_points(A20_20, A20_20)) & ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))) & ! [L24_24] : (~distinct_lines(L24_24, L24_24)) & ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))) & ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)) & ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))) & ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))) & ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))) & ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))) & ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))) & ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))) & ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))) & ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))) & ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))) & ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))) & ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))) & ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))) & ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))) & ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))) & ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))) & ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)) & ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))) & ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))) & ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))) & ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))) & ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76))))) & ~! [L77_77, A78_78, B79_79, C80_80] : ((between_on_line(L77_77, A78_78, B79_79, C80_80) => between_on_line(L77_77, C80_80, B79_79, A78_78))))
% 0.11/0.55 -> [1] (! [A20_20] : (~distinct_points(A20_20, A20_20)) & ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))) & ! [L24_24] : (~distinct_lines(L24_24, L24_24)) & ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))) & ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)) & ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))) & ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))) & ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))) & ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))) & ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))) & ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))) & ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))) & ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))) & ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))) & ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))) & ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))) & ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))) & ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))) & ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))) & ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))) & ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)) & ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))) & ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))) & ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))) & ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))) & ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76))))), ~! [L77_77, A78_78, B79_79, C80_80] : ((between_on_line(L77_77, A78_78, B79_79, C80_80) => between_on_line(L77_77, C80_80, B79_79, A78_78)))
% 0.11/0.55
% 0.11/0.55 [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)))))
% 0.11/0.55 -> [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))))
% 0.11/0.55
% 0.11/0.55 [2] DELTA_NOT_FORALL : ~! [L77_77, A78_78, B79_79, C80_80] : ((between_on_line(L77_77, A78_78, B79_79, C80_80) => between_on_line(L77_77, C80_80, B79_79, A78_78)))
% 0.11/0.55 -> [3] ~(between_on_line(skolem_L7777, skolem_A7878, skolem_B7979, skolem_C8080) => between_on_line(skolem_L7777, skolem_C8080, skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [3] ALPHA_NOT_IMPLY : ~(between_on_line(skolem_L7777, skolem_A7878, skolem_B7979, skolem_C8080) => between_on_line(skolem_L7777, skolem_C8080, skolem_B7979, skolem_A7878))
% 0.11/0.55 -> [4] between_on_line(skolem_L7777, skolem_A7878, skolem_B7979, skolem_C8080), ~between_on_line(skolem_L7777, skolem_C8080, skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [4] Rewrite : between_on_line(skolem_L7777, skolem_A7878, skolem_B7979, skolem_C8080)
% 0.11/0.55 -> [5] ((before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)) | (before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)))
% 0.11/0.55
% 0.11/0.55 [5] Rewrite : ~between_on_line(skolem_L7777, skolem_C8080, skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [6] ~((before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)) | (before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)))
% 0.11/0.55
% 0.11/0.55 [6] ALPHA_NOT_OR : ~((before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)) | (before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)))
% 0.11/0.55 -> [7] ~(before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)), ~(before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [7] BETA_OR : ((before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)) | (before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)))
% 0.11/0.55 -> [8] (before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080))
% 0.11/0.55 -> [9] (before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [9] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878))
% 0.11/0.55 -> [11] before_on_line(skolem_L7777, skolem_C8080, skolem_B7979), before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [11] Rewrite : before_on_line(skolem_L7777, skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [13] (((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979)))
% 0.11/0.55
% 0.11/0.55 [13] Rewrite : before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [15] (((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878)))
% 0.11/0.55
% 0.11/0.55 [15] ALPHA_AND : (((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979)))
% 0.11/0.55 -> [17] ((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [17] ALPHA_AND : (((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878)))
% 0.11/0.55 -> [19] ((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [19] ALPHA_AND : ((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [20] (distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [20] ALPHA_AND : ((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [22] (distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [22] ALPHA_AND : (distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [24] distinct_points(skolem_C8080, skolem_B7979), ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [24] ALPHA_NOT_OR : ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [26] ~left_apart_point(skolem_B7979, skolem_L7777), ~left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [26] ALPHA_AND : (distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [28] distinct_points(skolem_B7979, skolem_A7878), ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [28] ALPHA_NOT_OR : ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [30] ~left_apart_point(skolem_A7878, skolem_L7777), ~left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [30] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [32] ~left_apart_point(skolem_C8080, skolem_L7777), ~left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [32] ALPHA_NOT_OR : ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [35] ~left_apart_point(skolem_B7979, skolem_L7777), ~left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [35] BETA_NOT_AND : ~(before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878))
% 0.11/0.55 -> [38] ~before_on_line(skolem_L7777, skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [39] ~before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [38] Rewrite : ~before_on_line(skolem_L7777, skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [41] ~(((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979)))
% 0.11/0.55
% 0.11/0.55 [41] BETA_NOT_AND : ~(before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080))
% 0.11/0.55 -> [46] ~before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.55 -> [47] ~before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.55
% 0.11/0.55 [46] Rewrite : ~before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.55 -> [52] ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.55
% 0.11/0.55 [52] BETA_NOT_AND : ~(((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979)))
% 0.11/0.55 -> [61] ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [62] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [62] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55 -> [109] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [109] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [61] BETA_NOT_AND : ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.55 -> [70] ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [71] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [71] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.55 -> [96] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [96] BETA_NOT_AND : ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [246] ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [247] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [247] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [360] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [360] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [364] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [365] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [365] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [364] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [246] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [361] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [362] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [361] CLOSURE : ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55
% 0.11/0.55 [362] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [368] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [368] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [369] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [370] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [369] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [370] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [70] BETA_NOT_AND : ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [105] ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [106] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [105] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [110] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [111] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [111] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [123] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [123] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [127] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [128] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [127] CLOSURE : ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55
% 0.11/0.55 [128] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [142] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [142] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [150] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [151] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [151] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [150] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [110] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [138] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [139] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [138] CLOSURE : ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55
% 0.11/0.55 [139] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [153] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [153] BETA_NOT_AND : ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [235] ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.55 -> [236] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [235] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [334] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [335] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [334] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [335] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [236] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [243] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [243] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [251] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [252] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [252] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [251] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [106] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [114] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [114] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [124] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [125] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [125] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [135] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [135] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [145] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [146] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [145] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [146] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [124] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [173] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [174] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [173] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [174] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [47] Rewrite : ~before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.55 -> [53] ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.55
% 0.11/0.55 [53] BETA_NOT_AND : ~(((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979)))
% 0.11/0.55 -> [59] ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [60] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [60] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55 -> [100] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [100] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [59] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.55 -> [76] ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [77] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [77] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55 -> [108] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [108] BETA_NOT_AND : ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [288] ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [289] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [289] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [388] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [388] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [396] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [397] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [397] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [396] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [288] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [373] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [374] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [373] CLOSURE : ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55
% 0.11/0.55 [374] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [383] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [383] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [389] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [390] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [390] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [389] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [76] BETA_NOT_AND : ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [121] ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [122] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [121] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [206] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [207] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [206] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [237] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [238] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [238] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [248] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [248] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [298] ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.55 -> [299] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [299] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [307] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [307] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [317] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [318] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [318] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [317] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [298] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [326] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [327] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [326] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [327] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [237] CLOSURE : ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55
% 0.11/0.55 [207] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [216] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [216] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [219] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [220] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [220] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [333] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [333] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [340] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [341] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [341] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [340] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [219] CLOSURE : ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.55
% 0.11/0.55 [122] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [279] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [279] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [282] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [283] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [282] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [416] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [417] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [417] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [416] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [283] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [292] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [292] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [422] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [423] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [422] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [423] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [39] Rewrite : ~before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [43] ~(((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878)))
% 0.11/0.55
% 0.11/0.55 [43] BETA_NOT_AND : ~(before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080))
% 0.11/0.55 -> [50] ~before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.55 -> [51] ~before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.55
% 0.11/0.55 [50] Rewrite : ~before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.55 -> [63] ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.55
% 0.11/0.55 [63] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878)))
% 0.11/0.55 -> [74] ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [75] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [75] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55 -> [93] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [93] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [74] BETA_NOT_AND : ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.55 -> [84] ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [85] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [85] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.55 -> [98] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [98] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [310] ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [311] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [311] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [321] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [321] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [324] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55 -> [325] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [325] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [324] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [310] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [328] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [329] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [328] CLOSURE : ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [329] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [332] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [332] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [336] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [337] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [336] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [337] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [84] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [140] ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [141] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [141] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [227] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [227] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [230] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [231] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [230] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [261] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55 -> [262] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [262] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [261] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [231] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [264] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [264] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [266] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55 -> [267] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [267] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [266] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [140] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [277] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [278] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [278] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [375] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [375] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [381] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [382] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [381] CLOSURE : ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [382] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [393] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [393] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [398] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [399] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [399] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [398] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [277] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [284] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [285] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [284] CLOSURE : ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [285] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [291] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [291] BETA_NOT_AND : ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [293] ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.55 -> [294] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [294] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [409] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [409] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [413] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [414] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [414] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [413] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [293] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [427] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [428] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [427] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [428] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [51] Rewrite : ~before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.55 -> [57] ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.55
% 0.11/0.55 [57] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878)))
% 0.11/0.55 -> [90] ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [91] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [91] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55 -> [99] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [99] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.55
% 0.11/0.55 [90] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.55 -> [103] ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [104] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [103] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [112] ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [113] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [112] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [210] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [211] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [211] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [218] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [218] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [223] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [224] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [224] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [254] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [254] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [259] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [260] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [260] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [259] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [223] CLOSURE : ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [210] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [228] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [229] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [228] CLOSURE : ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [229] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [239] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [239] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [241] ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.55 -> [242] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [242] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [305] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [305] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [312] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [313] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [313] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [312] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [241] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [342] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [343] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [343] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [342] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [113] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [165] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [165] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [171] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [172] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [172] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [183] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [183] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [203] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55 -> [204] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [204] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [203] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [171] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [197] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55 -> [198] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [198] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [197] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [104] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55 -> [126] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [126] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [424] ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [425] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [425] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [433] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [433] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [435] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55 -> [436] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [436] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [435] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [424] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [439] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55 -> [440] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [439] CLOSURE : ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [440] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [441] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [441] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [442] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55 -> [443] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [443] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [442] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [8] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080))
% 0.11/0.55 -> [10] before_on_line(skolem_L7777, skolem_A7878, skolem_B7979), before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.55
% 0.11/0.55 [10] Rewrite : before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.55 -> [12] (((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.55
% 0.11/0.55 [12] Rewrite : before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.55 -> [14] (((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.55
% 0.11/0.55 [14] ALPHA_AND : (((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.55 -> [16] ((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [16] ALPHA_AND : (((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.55 -> [18] ((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [18] ALPHA_AND : ((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [21] (distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [21] ALPHA_AND : ((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [23] (distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [23] ALPHA_AND : (distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [25] distinct_points(skolem_A7878, skolem_B7979), ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [25] ALPHA_NOT_OR : ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [27] ~left_apart_point(skolem_B7979, skolem_L7777), ~left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [27] ALPHA_AND : (distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [29] distinct_points(skolem_B7979, skolem_C8080), ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [29] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [31] ~left_apart_point(skolem_C8080, skolem_L7777), ~left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [31] ALPHA_NOT_OR : ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [33] ~left_apart_point(skolem_A7878, skolem_L7777), ~left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [33] ALPHA_NOT_OR : ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [34] ~left_apart_point(skolem_B7979, skolem_L7777), ~left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [34] BETA_NOT_AND : ~(before_on_line(skolem_L7777, skolem_C8080, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_A7878))
% 0.11/0.55 -> [36] ~before_on_line(skolem_L7777, skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [37] ~before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)
% 0.11/0.55
% 0.11/0.55 [36] Rewrite : ~before_on_line(skolem_L7777, skolem_C8080, skolem_B7979)
% 0.11/0.55 -> [40] ~(((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979)))
% 0.11/0.55
% 0.11/0.55 [40] BETA_NOT_AND : ~(before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080))
% 0.11/0.55 -> [44] ~before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.55 -> [45] ~before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.55
% 0.11/0.55 [45] Rewrite : ~before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.55 -> [55] ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.55
% 0.11/0.55 [55] BETA_NOT_AND : ~(((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979)))
% 0.11/0.55 -> [64] ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [65] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [65] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55 -> [80] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.55
% 0.11/0.55 [80] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.55 -> [199] ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [200] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [200] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55 -> [296] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [296] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.55
% 0.11/0.55 [199] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [244] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [245] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [245] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [304] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55
% 0.11/0.55 [304] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.55 -> [308] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55 -> [309] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [309] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.55
% 0.11/0.55 [308] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.55
% 0.11/0.55 [244] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.55 -> [356] ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56 -> [357] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [356] CLOSURE : ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56
% 0.11/0.56 [357] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [363] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [363] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [366] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [367] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [366] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [367] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [64] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.56 -> [78] ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [79] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [79] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56 -> [263] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [263] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [78] BETA_NOT_AND : ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [101] ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [102] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [102] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [132] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [132] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [143] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [144] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [143] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [179] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [180] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [180] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [179] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [144] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [205] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [205] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [214] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [215] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [215] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [214] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [101] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [117] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [118] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [118] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [154] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [154] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [163] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.56 -> [164] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [164] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [194] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [194] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [201] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56 -> [202] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [201] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [202] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [163] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [322] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56 -> [323] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [323] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [322] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [117] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [208] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.56 -> [209] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [209] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [217] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [217] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [221] ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56 -> [222] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [222] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [232] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [232] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [255] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56 -> [256] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [256] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [255] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [221] CLOSURE : ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56
% 0.11/0.56 [208] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [376] ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56 -> [377] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [376] CLOSURE : ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56
% 0.11/0.56 [377] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [386] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [386] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [391] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [392] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [392] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [391] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [44] Rewrite : ~before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [54] ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.56
% 0.11/0.56 [54] BETA_NOT_AND : ~(((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979)))
% 0.11/0.56 -> [66] ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [67] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [66] BETA_NOT_AND : ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.56 -> [81] ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [82] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [82] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56 -> [92] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [92] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [81] BETA_NOT_AND : ~((distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [94] ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [95] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [95] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [129] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [129] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [155] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [156] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [155] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [177] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [178] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [177] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [178] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [156] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [191] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [191] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [192] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [193] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [193] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [192] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [94] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [115] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [116] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [115] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [133] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.56 -> [134] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [134] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [149] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [149] BETA_NOT_AND : ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [160] ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [161] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [160] CLOSURE : ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56
% 0.11/0.56 [161] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [190] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [190] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [212] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56 -> [213] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [213] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [212] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [133] BETA_NOT_AND : ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [371] ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [372] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [371] CLOSURE : ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56
% 0.11/0.56 [372] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [380] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [380] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [384] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56 -> [385] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [384] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [385] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [116] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [265] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [265] BETA_NOT_AND : ~(distinct_points(skolem_C8080, skolem_B7979) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [268] ~distinct_points(skolem_C8080, skolem_B7979)
% 0.11/0.56 -> [269] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [269] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [272] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [272] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [273] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [274] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [274] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [273] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [268] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [407] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [408] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [408] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [407] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [67] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.56 -> [83] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8080, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [83] BETA_NOT_AND : ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.56 -> [275] ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [276] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [276] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56 -> [410] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [410] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [275] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [286] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [287] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [286] BETA_NOT_AND : ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [300] ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [301] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [300] CLOSURE : ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56
% 0.11/0.56 [301] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [306] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [306] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [315] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56 -> [316] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [316] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [315] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [287] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [295] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [295] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [411] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [412] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [412] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [411] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [37] Rewrite : ~before_on_line(skolem_L7777, skolem_B7979, skolem_A7878)
% 0.11/0.56 -> [42] ~(((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878)))
% 0.11/0.56
% 0.11/0.56 [42] BETA_NOT_AND : ~(before_on_line(skolem_L7777, skolem_A7878, skolem_B7979) & before_on_line(skolem_L7777, skolem_B7979, skolem_C8080))
% 0.11/0.56 -> [48] ~before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [49] ~before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.56
% 0.11/0.56 [49] Rewrite : ~before_on_line(skolem_L7777, skolem_B7979, skolem_C8080)
% 0.11/0.56 -> [56] ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.56
% 0.11/0.56 [56] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878)))
% 0.11/0.56 -> [68] ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [69] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.56
% 0.11/0.56 [69] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.56 -> [97] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.56
% 0.11/0.56 [97] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.56 -> [280] ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [281] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [281] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56 -> [290] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [290] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [280] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [378] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [379] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [379] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [387] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [387] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [394] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56 -> [395] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [395] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [394] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [378] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [418] ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56 -> [419] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [418] CLOSURE : ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56
% 0.11/0.56 [419] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [426] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [426] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [431] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [432] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [432] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [431] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [68] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080)))
% 0.11/0.56 -> [86] ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [87] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [87] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56 -> [131] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [131] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_C8080))
% 0.11/0.56
% 0.11/0.56 [86] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [119] ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [120] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [119] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [233] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [234] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [234] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [240] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [240] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [249] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.56 -> [250] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [249] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [270] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56 -> [271] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [270] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [271] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [250] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [350] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [350] BETA_OR : (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [354] left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56 -> [355] left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [355] CLOSURE : left_apart_point(skolem_C8080, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [354] CLOSURE : left_apart_point(skolem_C8080, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [233] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [338] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.56 -> [339] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [339] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [344] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [344] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [345] ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56 -> [346] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [345] CLOSURE : ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56
% 0.11/0.56 [346] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [349] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [349] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [351] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [352] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [352] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [351] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [338] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [347] ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56 -> [348] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [347] CLOSURE : ~distinct_points(skolem_B7979, skolem_C8080)
% 0.11/0.56
% 0.11/0.56 [348] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [353] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [353] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [358] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [359] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [359] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [358] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [120] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [130] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [130] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [169] ~(distinct_points(skolem_B7979, skolem_C8080) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [170] ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [170] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [182] (left_apart_point(skolem_C8080, skolem_L7777) | left_apart_point(skolem_C8080, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [182] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [188] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56 -> [189] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [189] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [188] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [169] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [405] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56 -> [406] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [405] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [406] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [48] Rewrite : ~before_on_line(skolem_L7777, skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [58] ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.56
% 0.11/0.56 [58] BETA_NOT_AND : ~(((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878)))
% 0.11/0.56 -> [72] ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [73] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.56
% 0.11/0.56 [73] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.56 -> [107] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B7979, skolem_A7878))
% 0.11/0.56
% 0.11/0.56 [107] BETA_NOT_AND : ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.56 -> [147] ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [148] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [148] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56 -> [162] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [162] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [147] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [167] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [168] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [167] BETA_NOT_AND : ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [225] ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [226] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [225] CLOSURE : ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56
% 0.11/0.56 [226] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [253] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [253] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [257] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56 -> [258] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [258] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [257] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [168] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [181] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [181] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [186] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [187] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [186] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [187] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [72] BETA_NOT_AND : ~(((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979)))
% 0.11/0.56 -> [88] ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [89] ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [89] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56 -> [159] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [159] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A7878, skolem_B7979))
% 0.11/0.56
% 0.11/0.56 [88] BETA_NOT_AND : ~((distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [136] ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [137] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [137] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [152] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [152] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [157] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [158] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [157] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [184] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56 -> [185] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [184] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [185] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [158] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [166] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [166] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [175] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56 -> [176] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [176] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [175] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [136] BETA_NOT_AND : ~((distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [195] ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [196] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [196] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [297] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [297] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [302] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.56 -> [303] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [303] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [314] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [314] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [319] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [320] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [320] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [319] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [302] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [330] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [331] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [331] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [330] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [195] BETA_NOT_AND : ~(distinct_points(skolem_B7979, skolem_A7878) & ~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [400] ~distinct_points(skolem_B7979, skolem_A7878)
% 0.11/0.56 -> [401] ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [401] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [402] (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [402] BETA_NOT_AND : ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [403] ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [404] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [403] CLOSURE : ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56
% 0.11/0.56 [404] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [415] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [415] BETA_OR : (left_apart_point(skolem_B7979, skolem_L7777) | left_apart_point(skolem_B7979, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [420] left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56 -> [421] left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [421] CLOSURE : left_apart_point(skolem_B7979, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [420] CLOSURE : left_apart_point(skolem_B7979, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 [400] BETA_NOT_AND : ~(distinct_points(skolem_A7878, skolem_B7979) & ~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777))))
% 0.11/0.56 -> [429] ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56 -> [430] ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [429] CLOSURE : ~distinct_points(skolem_A7878, skolem_B7979)
% 0.11/0.56
% 0.11/0.56 [430] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [434] (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56
% 0.11/0.56 [434] BETA_OR : (left_apart_point(skolem_A7878, skolem_L7777) | left_apart_point(skolem_A7878, reverse_line(skolem_L7777)))
% 0.11/0.56 -> [437] left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56 -> [438] left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [438] CLOSURE : left_apart_point(skolem_A7878, reverse_line(skolem_L7777))
% 0.11/0.56
% 0.11/0.56 [437] CLOSURE : left_apart_point(skolem_A7878, skolem_L7777)
% 0.11/0.56
% 0.11/0.56 % SZS output end Proof for theBenchmark.p
% 0.11/0.56 [0.289553s][1][Res] 1687 goroutines created
% 0.11/0.56 ==== Result ====
% 0.11/0.56 [0.289582s][1][Res] VALID
% 0.11/0.56 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------