TSTP Solution File: GEO254+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO254+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 : Sat Jul 23 06:02:19 EDT 2022
% Result : Theorem 263.35s 263.57s
% Output : Refutation 263.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO254+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:27:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 263.35/263.57 GeoParameters:
% 263.35/263.57
% 263.35/263.57 tptp_input = 1
% 263.35/263.57 tptp_output = 0
% 263.35/263.57 nonempty = 1
% 263.35/263.57 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 263.35/263.57 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 263.35/263.57
% 263.35/263.57
% 263.35/263.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 263.35/263.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 263.35/263.57
% 263.35/263.57 RuleSystem INPUT:
% 263.35/263.57
% 263.35/263.57 Initial Rules:
% 263.35/263.57 #0: input, references = 3, size of lhs = 1:
% 263.35/263.57 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1: input, references = 3, size of lhs = 1:
% 263.35/263.57 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #4: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | pppp0-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #5: input, references = 3, size of lhs = 1:
% 263.35/263.57 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #6: input, references = 3, size of lhs = 1:
% 263.35/263.57 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #7: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #8: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #9: input, references = 3, size of lhs = 3:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2) | pppp1-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #10: input, references = 3, size of lhs = 1:
% 263.35/263.57 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #11: input, references = 3, size of lhs = 1:
% 263.35/263.57 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #12: input, references = 3, size of lhs = 3:
% 263.35/263.57 #-{F} V0, #-{F} V2, P_reverse_line-{F}(V1,V3) | pppp5-{T}(V0,V1,V2,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #13: input, references = 3, size of lhs = 3:
% 263.35/263.57 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V3), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #14: input, references = 3, size of lhs = 3:
% 263.35/263.57 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V3) | pppp2-{T}(V0,V1,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #15: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V2,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #16: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V0,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #17: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #18: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #19: input, references = 3, size of lhs = 1:
% 263.35/263.57 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #20: input, references = 43, size of lhs = 1:
% 263.35/263.57 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #21: input, references = 46, size of lhs = 3:
% 263.35/263.57 P_reverse_line-{F}(V1,V3), P_line_connecting-{F}(V0,V2,V4), pppp3-{F}(V0,V1,V2) | pppp6-{T}(V0,V1,V2,V3,V4)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #22: input, references = 21, size of lhs = 3:
% 263.35/263.57 P_reverse_line-{F}(V1,V3), P_line_connecting-{F}(V0,V2,V4), distinct_points-{F}(V0,V2) | pppp3-{T}(V0,V1,V2), left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V3), left_apart_point-{T}(V2,V1), left_apart_point-{T}(V2,V3), unequally_directed_lines-{T}(V1,V4)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #23: input, references = 14, size of lhs = 2:
% 263.35/263.57 pppp6-{F}(V0,V1,V2,V3,V4), unequally_directed_lines-{F}(V1,V4) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #24: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V3) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #25: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #26: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V3) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #27: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #28: input, references = 3, size of lhs = 1:
% 263.35/263.57 pppp6-{F}(V0,V1,V2,V3,V4) | distinct_points-{T}(V0,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #29: input, references = 3, size of lhs = 1:
% 263.35/263.57 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #30: input, references = 3, size of lhs = 1:
% 263.35/263.57 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #31: input, references = 3, size of lhs = 4:
% 263.35/263.57 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #32: input, references = 3, size of lhs = 3:
% 263.35/263.57 pppp7-{F}(V0,V1,V2,V3), before_on_line-{F}(V1,V3,V2), before_on_line-{F}(V1,V2,V0) | pppp4-{T}(V0,V1,V2,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #33: input, references = 3, size of lhs = 3:
% 263.35/263.57 pppp7-{F}(V0,V1,V2,V3), before_on_line-{F}(V1,V0,V2), before_on_line-{F}(V1,V2,V3) | pppp4-{T}(V0,V1,V2,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #34: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V2,V3), before_on_line-{T}(V1,V2,V0)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #35: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V2,V3), before_on_line-{T}(V1,V3,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #36: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V0,V2), before_on_line-{T}(V1,V2,V0)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #37: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V0,V2), before_on_line-{T}(V1,V3,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #38: input, references = 4, size of lhs = 1:
% 263.35/263.57 distinct_points-{F}(V0,V0) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #39: input, references = 10, size of lhs = 2:
% 263.35/263.57 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #40: input, references = 3, size of lhs = 1:
% 263.35/263.57 distinct_lines-{F}(V0,V0) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #41: input, references = 3, size of lhs = 2:
% 263.35/263.57 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #42: input, references = 6, size of lhs = 1:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V0) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #43: input, references = 6, size of lhs = 2:
% 263.35/263.57 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #44: input, references = 3, size of lhs = 4:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V3), unequally_directed_lines-{T}(V1,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #45: input, references = 3, size of lhs = 4:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V3), unequally_directed_lines-{T}(V1,V4)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #46: input, references = 3, size of lhs = 4:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V4), unequally_directed_lines-{T}(V1,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #47: input, references = 3, size of lhs = 4:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V4), unequally_directed_lines-{T}(V1,V4)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #48: input, references = 3, size of lhs = 3:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), line-{F}(V0), line-{F}(V2) | unequally_directed_lines-{T}(V2,V0), unequally_directed_lines-{T}(V2,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #49: input, references = 4, size of lhs = 3:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2) | left_convergent_lines-{T}(V0,V1), left_convergent_lines-{T}(V0,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #50: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #51: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #52: input, references = 12, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #53: input, references = 10, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #54: input, references = 3, size of lhs = 4:
% 263.35/263.57 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #55: input, references = 3, size of lhs = 6:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), line-{F}(V0), P_intersection_point-{F}(V2,V0,V3), line-{F}(V2), unequally_directed_lines-{F}(V2,V0), unequally_directed_lines-{F}(V2,V1) | point-{T}(V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #56: input, references = 3, size of lhs = 3:
% 263.35/263.57 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #57: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #58: input, references = 3, size of lhs = 3:
% 263.35/263.57 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #59: input, references = 3, size of lhs = 3:
% 263.35/263.57 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #60: input, references = 3, size of lhs = 5:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), apart_point_and_line-{F}(V3,V0) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #61: input, references = 3, size of lhs = 5:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), apart_point_and_line-{F}(V3,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #62: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #63: input, references = 3, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #64: input, references = 9, size of lhs = 4:
% 263.35/263.57 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3), P_reverse_line-{F}(V3,V4), unequally_directed_lines-{F}(V2,V4) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #65: input, references = 8, size of lhs = 2:
% 263.35/263.57 P_parallel_through_point-{F}(V1,V0,V2), unequally_directed_lines-{F}(V2,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #66: input, references = 3, size of lhs = 4:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V4), distinct_lines-{F}(V3,V1), distinct_points-{F}(V5,V0) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V2), left_apart_point-{T}(V0,V3), left_apart_point-{T}(V0,V4), left_apart_point-{T}(V5,V3), left_apart_point-{T}(V5,V1), left_apart_point-{T}(V5,V4), left_apart_point-{T}(V5,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #67: input, references = 3, size of lhs = 3:
% 263.35/263.57 P_line_connecting-{F}(V2,V0,V3), distinct_points-{F}(V2,V0), left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), left_convergent_lines-{T}(V3,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #68: input, references = 3, size of lhs = 2:
% 263.35/263.57 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #69: input, references = 3, size of lhs = 3:
% 263.35/263.57 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), left_apart_point-{F}(V3,V0) | distinct_lines-{T}(V0,V1), left_apart_point-{T}(V3,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #70: input, references = 3, size of lhs = 2:
% 263.35/263.57 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #71: input, references = 4, size of lhs = 0:
% 263.35/263.57 FALSE | EXISTS V0: pppp10-{T}(V0)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #72: input, references = 4, size of lhs = 1:
% 263.35/263.57 pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #73: input, references = 12, size of lhs = 1:
% 263.35/263.57 pppp9-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V2,V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #74: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp9-{F}(V0,V1), apart_point_and_line-{F}(V1,V0) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #75: input, references = 18, size of lhs = 3:
% 263.35/263.57 pppp8-{F}(V0,V1,V2), before_on_line-{F}(V1,V0,V2), before_on_line-{F}(V1,V2,V0) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #76: input, references = 3, size of lhs = 2:
% 263.35/263.57 pppp8-{F}(V0,V1,V2), apart_point_and_line-{F}(V0,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #77: input, references = 13, size of lhs = 1:
% 263.35/263.57 pppp8-{F}(V0,V1,V2) | distinct_points-{T}(V0,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #78: input, references = 23, size of lhs = 1:
% 263.35/263.57 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #79: input, references = 36, size of lhs = 2:
% 263.35/263.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #80: input, references = 3, size of lhs = 2:
% 263.35/263.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #81: input, references = 3, size of lhs = 2:
% 263.35/263.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 number of initial rules = 82
% 263.35/263.57
% 263.35/263.57 Simplifiers:
% 263.35/263.57 #82: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #83: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #84: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #85: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #86: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #87: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #88: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V6,V2,V8,V9), V4 == V9 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #89: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V2), V0 == V3 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #90: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V2), V1 == V4 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #91: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V2 == V5 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #92: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #93: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #94: unsound, references = 3, size of lhs = 3:
% 263.35/263.57 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 number of simplifiers = 13
% 263.35/263.57
% 263.35/263.57 Learnt:
% 263.35/263.57 #97: disj( #39, input ), references = 16, size of lhs = 1:
% 263.35/263.57 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #104: mergings( V1 == V5, V5 == V7; #98 ), references = 1, size of lhs = 5:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6) | pppp3-{T}(V4,V2,V5), unequally_directed_lines-{T}(V2,V6)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #109: mergings( V1 == V2, V2 == V4; #105 ), references = 2, size of lhs = 5:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V3) | pppp3-{T}(V4,V3,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #112: mergings( V1 == V2, V2 == V4; #106 ), references = 1, size of lhs = 6:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_parallel_through_point-{F}(V6,V7,V3) | pppp3-{T}(V4,V3,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #285: mergings( V1 == V5, V5 == V7, V6 == V8; #201 ), references = 2, size of lhs = 5:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), pppp6-{F}(V6,V0,V7,V8,V5) | pppp3-{T}(V3,V0,V4)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #300: disj( #43, input ), references = 29, size of lhs = 1:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V1) | unequally_directed_lines-{T}(V1,V0)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #304: disj( #43, input ), references = 12, size of lhs = 4:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V1), P_line_connecting-{F}(V3,V2,V4), P_reverse_line-{F}(V4,V5) | unequally_directed_lines-{T}(V0,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #305: disj( #43, input ), references = 3, size of lhs = 2:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | unequally_directed_lines-{T}(V0,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #306: disj( #43, input ), references = 8, size of lhs = 2:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V1), pppp6-{F}(V2,V1,V3,V4,V5) | unequally_directed_lines-{T}(V0,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #485: mergings( V1 == V2, V2 == V4, V3 == V5; #479 ), references = 2, size of lhs = 7:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V5), P_reverse_line-{F}(V5,V6), P_reverse_line-{F}(V6,V7), P_reverse_line-{F}(V7,V8) | pppp3-{T}(V0,V6,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #489: mergings( V1 == V2, V2 == V4, V3 == V5; #480 ), references = 1, size of lhs = 7:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V5), P_reverse_line-{F}(V5,V6), P_reverse_line-{F}(V6,V7), P_reverse_line-{F}(V7,V8) | pppp3-{T}(V0,V6,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #493: mergings( V1 == V2, V2 == V4, V3 == V5; #481 ), references = 1, size of lhs = 8:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V5), P_reverse_line-{F}(V5,V6), P_parallel_through_point-{F}(V6,V7,V8), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V9,V10) | pppp3-{T}(V0,V8,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #516: exists( #79, #514 ), references = 2, size of lhs = 7:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V1,V0,V2), P_reverse_line-{F}(V2,V3), pppp8-{F}(V0,V3,V1), before_on_line-{F}(V3,V1,V0), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V4,V5) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #521: mergings( V1 == V3; #519 ), references = 15, size of lhs = 3:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V1,V2) | left_convergent_lines-{T}(V0,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #531: mergings( V1 == V2, V2 == V4, V9 == V10; #526 ), references = 13, size of lhs = 10:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_reverse_line-{F}(V6,V7), P_reverse_line-{F}(V8,V7), P_reverse_line-{F}(V9,V7), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V9) | pppp3-{T}(V4,V2,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #535: mergings( V1 == V2, V2 == V4, V9 == V10; #527 ), references = 1, size of lhs = 10:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_reverse_line-{F}(V6,V7), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V9,V7), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V9) | pppp3-{T}(V4,V2,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #633: mergings( V1 == V2, V2 == V4, V3 == V5, V4 == V10, V5 == V11, V9 == V8; #626 ), references = 1, size of lhs = 7:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V0), distinct_points-{F}(V4,V5), distinct_points-{F}(V5,V4), pppp8-{F}(V4,V0,V5), P_line_connecting-{F}(V5,V4,V3) | unequally_directed_lines-{T}(V0,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #653: mergings( V3 == V6, V6 == V7, V0 == V13; #649 ), references = 1, size of lhs = 11:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V1,V4), distinct_points-{F}(V5,V6), distinct_points-{F}(V6,V5), pppp8-{F}(V5,V3,V6), P_line_connecting-{F}(V6,V5,V7), P_line_connecting-{F}(V5,V6,V7), P_line_connecting-{F}(V8,V9,V7), P_line_connecting-{F}(V9,V8,V7) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #826: mergings( V1 == V5, V5 == V7, V6 == V8; #742 ), references = 12, size of lhs = 6:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), distinct_points-{F}(V3,V4), pppp8-{F}(V3,V0,V4), before_on_line-{F}(V0,V4,V3), P_line_connecting-{F}(V3,V4,V5) | unequally_directed_lines-{T}(V0,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #840: mergings( V3 == V4, V4 == V5, V5 == V6; #835 ), references = 1, size of lhs = 4:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), distinct_points-{F}(V1,V2), pppp8-{F}(V1,V0,V2), before_on_line-{F}(V0,V2,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #853: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V10, V10 == V11; #843 ), references = 1, size of lhs = 5:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), distinct_points-{F}(V1,V2), distinct_points-{F}(V2,V1), pppp8-{F}(V1,V0,V2), P_line_connecting-{F}(V2,V1,V3) | unequally_directed_lines-{T}(V0,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #871: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #860 ), references = 1, size of lhs = 4:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), distinct_points-{F}(V1,V2), distinct_points-{F}(V2,V1), pppp8-{F}(V1,V0,V2) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #887: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #876 ), references = 1, size of lhs = 2:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), pppp9-{F}(V0,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1006: exists( #79, #1004 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), distinct_points-{F}(V3,V4), pppp8-{F}(V3,V0,V4), before_on_line-{F}(V0,V4,V3), P_line_connecting-{F}(V4,V3,V5), P_reverse_line-{F}(V5,V6), pppp6-{F}(V7,V0,V8,V9,V6) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1016: mergings( V1 == V2, V2 == V4, V4 == V9, V9 == V10, V12 == V13, V13 == V8; #1009 ), references = 1, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V4,V2), P_reverse_line-{F}(V2,V5), distinct_points-{F}(V6,V7), distinct_points-{F}(V7,V6), pppp8-{F}(V6,V4,V7), P_line_connecting-{F}(V7,V6,V0) | unequally_directed_lines-{T}(V4,V0)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1032: exists( #78, #1029 ), references = 4, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), pppp8-{F}(V4,V2,V5), distinct_points-{F}(V5,V4), before_on_line-{F}(V2,V4,V5), P_line_connecting-{F}(V5,V4,V6), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V6) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1055: mergings( V3 == V6; #1053 ), references = 1, size of lhs = 12:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V1,V4), P_parallel_through_point-{F}(V3,V5,V6), distinct_points-{F}(V7,V8), distinct_points-{F}(V8,V7), pppp8-{F}(V7,V3,V8), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V9), P_line_connecting-{F}(V10,V11,V9), P_line_connecting-{F}(V11,V10,V9) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1324: mergings( V1 == V5, V5 == V7; #1079 ), references = 5, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V9), P_reverse_line-{F}(V9,V10), pppp6-{F}(V11,V2,V12,V13,V10) | pppp3-{T}(V4,V2,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1327: mergings( V1 == V5, V5 == V7; #1082 ), references = 1, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V1,V3), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V9), P_reverse_line-{F}(V9,V10), pppp6-{F}(V11,V2,V12,V13,V10) | pppp3-{T}(V4,V2,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1330: mergings( V1 == V5, V5 == V7; #1085 ), references = 1, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), P_line_connecting-{F}(V6,V7,V5), P_line_connecting-{F}(V7,V6,V8), P_reverse_line-{F}(V8,V9), pppp6-{F}(V10,V11,V4,V1,V12), pppp6-{F}(V13,V2,V14,V15,V9) | pppp3-{T}(V3,V2,V4)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1463: mergings( V1 == V2, V2 == V4, V4 == V11; #1458 ), references = 3, size of lhs = 7:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_parallel_through_point-{F}(V4,V5,V3), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V8) | pppp3-{T}(V6,V3,V7)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1466: mergings( V1 == V2, V2 == V4; #1459 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_parallel_through_point-{F}(V4,V5,V3), P_reverse_line-{F}(V6,V3), distinct_points-{F}(V7,V8), P_line_connecting-{F}(V7,V8,V9) | pppp3-{T}(V7,V3,V8)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1474: exists( #79, #1470 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_parallel_through_point-{F}(V4,V5,V3), distinct_points-{F}(V6,V7), pppp8-{F}(V6,V3,V7), before_on_line-{F}(V3,V7,V6) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1477: mergings( V4 == V9, V9 == V10; #1473 ), references = 1, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V4), P_parallel_through_point-{F}(V5,V6,V4), distinct_points-{F}(V7,V8), pppp8-{F}(V7,V4,V8), before_on_line-{F}(V4,V8,V7) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1488: mergings( V4 == V7, V7 == V8, V8 == V11, V11 == V12; #1482 ), references = 1, size of lhs = 12:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V1), P_reverse_line-{F}(V6,V5), P_parallel_through_point-{F}(V6,V7,V5), P_reverse_line-{F}(V8,V5), P_parallel_through_point-{F}(V8,V9,V5), distinct_points-{F}(V10,V11), distinct_points-{F}(V11,V10), pppp8-{F}(V10,V5,V11) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1496: mergings( V4 == V6, V6 == V7, V7 == V10, V10 == V11; #1491 ), references = 1, size of lhs = 10:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V1), pppp9-{F}(V5,V6), P_reverse_line-{F}(V7,V5), P_parallel_through_point-{F}(V7,V8,V5), P_reverse_line-{F}(V9,V5), P_parallel_through_point-{F}(V9,V10,V5) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1511: exists( #79, #1505 ), references = 1, size of lhs = 10:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V0), P_line_connecting-{F}(V4,V5,V3), P_line_connecting-{F}(V5,V4,V6), P_reverse_line-{F}(V7,V6), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V9,V8,V7), pppp8-{F}(V8,V0,V9), before_on_line-{F}(V0,V9,V8) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1512: exists( #79, #1506 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), distinct_points-{F}(V3,V4), pppp8-{F}(V3,V0,V4), before_on_line-{F}(V0,V4,V3), P_line_connecting-{F}(V4,V3,V5), P_reverse_line-{F}(V5,V6), pppp6-{F}(V7,V6,V8,V9,V0) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1513: exists( #79, #1507 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_parallel_through_point-{F}(V0,V3,V4), P_reverse_line-{F}(V5,V4), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V7,V6,V5), pppp8-{F}(V6,V0,V7), before_on_line-{F}(V0,V7,V6) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1639: mergings( V4 == V8, V11 == V12, V9 == V13; #1634 ), references = 2, size of lhs = 13:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), unequally_directed_lines-{F}(V6,V5), unequally_directed_lines-{F}(V6,V7), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V9,V7), P_reverse_line-{F}(V10,V7), P_reverse_line-{F}(V11,V7), P_line_connecting-{F}(V1,V12,V11), P_line_connecting-{F}(V13,V14,V11), P_line_connecting-{F}(V14,V13,V10) | distinct_points-{T}(V0,V12)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1643: mergings( V4 == V8, V11 == V12, V9 == V13; #1635 ), references = 1, size of lhs = 13:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), unequally_directed_lines-{F}(V6,V5), unequally_directed_lines-{F}(V6,V7), P_reverse_line-{F}(V8,V7), P_reverse_line-{F}(V9,V7), P_reverse_line-{F}(V10,V7), P_reverse_line-{F}(V11,V7), P_line_connecting-{F}(V1,V12,V11), P_line_connecting-{F}(V13,V14,V11), P_line_connecting-{F}(V14,V13,V10) | distinct_points-{T}(V0,V12)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1864: disj( #39, #1639+#38 ), references = 1, size of lhs = 13:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V2,V0,V3), P_reverse_line-{F}(V3,V4), unequally_directed_lines-{F}(V5,V4), unequally_directed_lines-{F}(V5,V6), P_reverse_line-{F}(V6,V7), P_reverse_line-{F}(V8,V7), P_reverse_line-{F}(V9,V7), P_reverse_line-{F}(V4,V10), P_reverse_line-{F}(V11,V4), P_reverse_line-{F}(V12,V4), P_line_connecting-{F}(V13,V14,V3), P_line_connecting-{F}(V14,V13,V12) | distinct_points-{T}(V1,V2)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1882: mergings( V1 == V2, V2 == V4, V3 == V5, V4 == V9, V5 == V10; #1875 ), references = 15, size of lhs = 7:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V4,V5), P_reverse_line-{F}(V6,V4), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V8,V7,V6) | pppp3-{T}(V0,V3,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #1887: mergings( V10 == V1, V1 == V2, V2 == V4, V3 == V5; #1876 ), references = 1, size of lhs = 8:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V4,V5), P_reverse_line-{F}(V6,V4), P_reverse_line-{F}(V7,V4), P_line_connecting-{F}(V8,V9,V6), P_line_connecting-{F}(V9,V8,V7) | pppp3-{T}(V0,V6,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2001: mergings( V3 == V6, V7 == V0; #1998 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), unequally_directed_lines-{F}(V3,V4), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V7,V8,V4), P_line_connecting-{F}(V8,V7,V4) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2033: disj( #43, #521+#52 ), references = 3, size of lhs = 4:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V2,V4) | unequally_directed_lines-{T}(V0,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2034: disj( #43, #521+#53 ), references = 1, size of lhs = 4:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V4,V2) | unequally_directed_lines-{T}(V0,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2035: disj( #43, #300+#23 ), references = 14, size of lhs = 2:
% 263.35/263.57 unequally_directed_lines-{F}(V0,V1), pppp6-{F}(V2,V3,V4,V5,V1) | unequally_directed_lines-{T}(V0,V3)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2051: mergings( V1 == V2, V2 == V4, V4 == V9; #2045 ), references = 20, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V8), P_line_connecting-{F}(V9,V10,V4), P_line_connecting-{F}(V10,V9,V5) | pppp3-{T}(V6,V3,V7)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2055: mergings( V1 == V2, V2 == V4, V4 == V9; #2046 ), references = 1, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V8), P_line_connecting-{F}(V9,V10,V4), P_line_connecting-{F}(V10,V9,V5) | pppp3-{T}(V6,V3,V7)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2059: mergings( V1 == V2, V2 == V4, V4 == V9; #2047 ), references = 1, size of lhs = 7:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_parallel_through_point-{F}(V3,V5,V4), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V8) | pppp3-{T}(V6,V3,V7)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2063: exists( #79, #2061 ), references = 1, size of lhs = 10:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), distinct_points-{F}(V8,V9), pppp8-{F}(V8,V3,V9), before_on_line-{F}(V3,V9,V8) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2071: mergings( V4 == V7, V7 == V8, V8 == V9, V9 == V10; #2066 ), references = 1, size of lhs = 16:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V1), P_reverse_line-{F}(V6,V5), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V5), P_reverse_line-{F}(V9,V5), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V7), P_line_connecting-{F}(V12,V13,V8), P_line_connecting-{F}(V13,V12,V9), distinct_points-{F}(V14,V15), distinct_points-{F}(V15,V14), pppp8-{F}(V14,V5,V15) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2079: mergings( V4 == V6, V6 == V7, V7 == V8, V8 == V9; #2074 ), references = 1, size of lhs = 14:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V1), pppp9-{F}(V5,V6), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V5), P_reverse_line-{F}(V9,V5), P_reverse_line-{F}(V10,V5), P_line_connecting-{F}(V11,V12,V7), P_line_connecting-{F}(V12,V11,V8), P_line_connecting-{F}(V13,V14,V9), P_line_connecting-{F}(V14,V13,V10) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2081: exists( #78, #2074 ), references = 1, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), pppp9-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V1), P_line_connecting-{F}(V6,V7,V0), P_line_connecting-{F}(V7,V6,V3), P_line_connecting-{F}(V8,V9,V4), P_line_connecting-{F}(V9,V8,V5) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2085: exists( #78, #2083 ), references = 2, size of lhs = 12:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_line_connecting-{F}(V4,V5,V3), P_line_connecting-{F}(V5,V4,V2), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V3), distinct_points-{F}(V7,V6), pppp8-{F}(V6,V8,V7), P_line_connecting-{F}(V7,V6,V9), P_line_connecting-{F}(V10,V11,V9), P_line_connecting-{F}(V11,V10,V9) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2103: mergings( V7 == V10; #2101 ), references = 5, size of lhs = 11:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V4,V5), P_reverse_line-{F}(V6,V4), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V3), distinct_points-{F}(V9,V10), pppp8-{F}(V9,V0,V10), before_on_line-{F}(V0,V10,V9), pppp6-{F}(V11,V0,V12,V13,V6) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2130: mergings( V10 == V13, V13 == V14, V3 == V6; #2125 ), references = 1, size of lhs = 19:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V1,V5), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V9), P_reverse_line-{F}(V13,V9), P_line_connecting-{F}(V14,V15,V5), P_line_connecting-{F}(V15,V14,V4), P_line_connecting-{F}(V16,V17,V7), P_line_connecting-{F}(V17,V16,V18), pppp8-{F}(V19,V11,V20), distinct_points-{F}(V20,V19), P_line_connecting-{F}(V20,V19,V18), before_on_line-{F}(V11,V19,V20) | distinct_points-{T}(V0,V6)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2136: mergings( V13 == V16, V16 == V17, V17 == V20, V3 == V6, V4 == V7; #2126 ), references = 1, size of lhs = 24:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_line_connecting-{F}(V8,V1,V7), P_reverse_line-{F}(V9,V7), P_reverse_line-{F}(V10,V11), P_reverse_line-{F}(V12,V11), P_reverse_line-{F}(V13,V11), P_reverse_line-{F}(V14,V11), P_reverse_line-{F}(V15,V11), P_reverse_line-{F}(V11,V16), P_line_connecting-{F}(V17,V18,V7), P_line_connecting-{F}(V18,V17,V5), P_line_connecting-{F}(V19,V20,V9), P_line_connecting-{F}(V20,V19,V21), P_line_connecting-{F}(V22,V23,V7), P_line_connecting-{F}(V23,V22,V6), distinct_points-{F}(V24,V25), distinct_points-{F}(V25,V24), P_line_connecting-{F}(V25,V24,V21), pppp8-{F}(V24,V15,V25) | distinct_points-{T}(V0,V8)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2187: mergings( V4 == V7, V7 == V8, V11 == V14; #2181 ), references = 1, size of lhs = 19:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V9), P_reverse_line-{F}(V11,V9), P_line_connecting-{F}(V0,V12,V11), P_reverse_line-{F}(V13,V11), P_line_connecting-{F}(V14,V15,V11), P_line_connecting-{F}(V15,V14,V10), P_line_connecting-{F}(V16,V17,V13), P_line_connecting-{F}(V17,V16,V18), pppp8-{F}(V19,V5,V20), distinct_points-{F}(V20,V19), P_line_connecting-{F}(V20,V19,V18), before_on_line-{F}(V5,V19,V20) | distinct_points-{T}(V1,V12)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2193: mergings( V4 == V7, V7 == V8, V8 == V11, V13 == V16, V14 == V17; #2182 ), references = 1, size of lhs = 24:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_reverse_line-{F}(V3,V8), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V10,V11), P_reverse_line-{F}(V12,V10), P_reverse_line-{F}(V13,V10), P_reverse_line-{F}(V14,V10), P_line_connecting-{F}(V0,V15,V14), P_reverse_line-{F}(V16,V14), P_line_connecting-{F}(V17,V18,V14), P_line_connecting-{F}(V18,V17,V12), P_line_connecting-{F}(V19,V20,V16), P_line_connecting-{F}(V20,V19,V21), P_line_connecting-{F}(V22,V23,V14), P_line_connecting-{F}(V23,V22,V13), distinct_points-{F}(V24,V25), distinct_points-{F}(V25,V24), P_line_connecting-{F}(V25,V24,V21), pppp8-{F}(V24,V7,V25) | distinct_points-{T}(V1,V15)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2290: mergings( V5 == V7; #2288 ), references = 2, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V2,V3), distinct_points-{F}(V4,V5), pppp8-{F}(V4,V1,V5), before_on_line-{F}(V1,V5,V4), pppp6-{F}(V6,V1,V7,V8,V9), pppp6-{F}(V10,V0,V11,V12,V9) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2300: mergings( V1 == V2, V2 == V4, V4 == V10, V10 == V11, V11 == V13, V8 == V14; #2293 ), references = 1, size of lhs = 10:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V4), distinct_points-{F}(V6,V7), distinct_points-{F}(V7,V6), pppp8-{F}(V6,V4,V7), P_line_connecting-{F}(V7,V6,V8), pppp6-{F}(V9,V5,V10,V11,V8) | unequally_directed_lines-{T}(V4,V8)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2330: mergings( V4 == V7, V7 == V17, V8 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V17 == V18, V6 == V20, V18 == V21, V20 == V22; #2317 ), references = 2, size of lhs = 18:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V3,V6), P_reverse_line-{F}(V7,V1), P_reverse_line-{F}(V8,V7), P_reverse_line-{F}(V9,V7), P_reverse_line-{F}(V10,V7), P_reverse_line-{F}(V11,V7), P_line_connecting-{F}(V12,V13,V8), P_line_connecting-{F}(V13,V12,V9), P_line_connecting-{F}(V14,V15,V10), P_line_connecting-{F}(V15,V14,V11), distinct_points-{F}(V16,V17), distinct_points-{F}(V17,V16), pppp8-{F}(V16,V1,V17) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2341: mergings( V4 == V7, V7 == V17, V8 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V6 == V20, V17 == V21, V20 == V22; #2318 ), references = 2, size of lhs = 19:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V3,V6), P_reverse_line-{F}(V7,V1), P_reverse_line-{F}(V8,V7), P_reverse_line-{F}(V9,V7), P_reverse_line-{F}(V10,V7), P_reverse_line-{F}(V11,V7), P_reverse_line-{F}(V12,V7), P_line_connecting-{F}(V13,V14,V9), P_line_connecting-{F}(V14,V13,V10), P_line_connecting-{F}(V15,V16,V11), P_line_connecting-{F}(V16,V15,V12), distinct_points-{F}(V17,V18), distinct_points-{F}(V18,V17), pppp8-{F}(V17,V1,V18) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2347: exists( #78, #2330 ), references = 1, size of lhs = 17:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V1), P_reverse_line-{F}(V7,V6), P_reverse_line-{F}(V8,V6), P_reverse_line-{F}(V9,V6), P_reverse_line-{F}(V10,V6), P_line_connecting-{F}(V11,V12,V7), P_line_connecting-{F}(V12,V11,V8), P_line_connecting-{F}(V13,V14,V9), P_line_connecting-{F}(V14,V13,V10), distinct_points-{F}(V15,V16), distinct_points-{F}(V16,V15), pppp8-{F}(V15,V1,V16) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2348: exists( #78, #2341 ), references = 1, size of lhs = 18:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V1), P_reverse_line-{F}(V7,V6), P_reverse_line-{F}(V8,V6), P_reverse_line-{F}(V9,V6), P_reverse_line-{F}(V10,V6), P_reverse_line-{F}(V11,V6), P_line_connecting-{F}(V12,V13,V8), P_line_connecting-{F}(V13,V12,V9), P_line_connecting-{F}(V14,V15,V10), P_line_connecting-{F}(V15,V14,V11), distinct_points-{F}(V16,V17), distinct_points-{F}(V17,V16), pppp8-{F}(V16,V1,V17) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2349: exists( #78, #2290 ), references = 1, size of lhs = 7:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), distinct_points-{F}(V3,V4), pppp8-{F}(V3,V1,V4), before_on_line-{F}(V1,V4,V3), pppp6-{F}(V5,V1,V6,V7,V8), pppp6-{F}(V9,V0,V10,V11,V8) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2352: exists( #78, #2344 ), references = 1, size of lhs = 14:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_line_connecting-{F}(V8,V9,V4), P_line_connecting-{F}(V9,V8,V5), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V7), distinct_points-{F}(V12,V13), distinct_points-{F}(V13,V12), pppp8-{F}(V12,V1,V13) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2353: exists( #78, #2345 ), references = 1, size of lhs = 15:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_reverse_line-{F}(V8,V3), P_line_connecting-{F}(V9,V10,V5), P_line_connecting-{F}(V10,V9,V6), P_line_connecting-{F}(V11,V12,V7), P_line_connecting-{F}(V12,V11,V8), distinct_points-{F}(V13,V14), distinct_points-{F}(V14,V13), pppp8-{F}(V13,V1,V14) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2360: exists( #73, #2356 ), references = 1, size of lhs = 12:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), pppp9-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V4), P_reverse_line-{F}(V6,V4), P_reverse_line-{F}(V7,V4), P_reverse_line-{F}(V8,V4), P_line_connecting-{F}(V9,V10,V5), P_line_connecting-{F}(V10,V9,V6), P_line_connecting-{F}(V11,V12,V7), P_line_connecting-{F}(V12,V11,V8) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2361: exists( #73, #2357 ), references = 1, size of lhs = 13:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), pppp9-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V4), P_reverse_line-{F}(V6,V4), P_reverse_line-{F}(V7,V4), P_reverse_line-{F}(V8,V4), P_reverse_line-{F}(V9,V4), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V7), P_line_connecting-{F}(V12,V13,V8), P_line_connecting-{F}(V13,V12,V9) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2378: mergings( V4 == V6, V5 == V7; #2375 ), references = 1, size of lhs = 14:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V3), P_reverse_line-{F}(V6,V7), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V9,V7), P_line_connecting-{F}(V10,V11,V9), P_line_connecting-{F}(V11,V10,V6), distinct_points-{F}(V12,V13), distinct_points-{F}(V13,V12), pppp8-{F}(V12,V0,V13), pppp6-{F}(V14,V0,V15,V16,V9) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2395: exists( #79, #2393 ), references = 1, size of lhs = 8:
% 263.35/263.57 distinct_points-{F}(V0,V1), pppp8-{F}(V0,V2,V1), before_on_line-{F}(V2,V1,V0), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V2), P_line_connecting-{F}(V7,V6,V5) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2401: mergings( V4 == V7, V5 == V8; #2398 ), references = 1, size of lhs = 11:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V5,V0), P_line_connecting-{F}(V7,V8,V4), P_line_connecting-{F}(V8,V7,V3), distinct_points-{F}(V9,V10), distinct_points-{F}(V10,V9), pppp8-{F}(V9,V4,V10) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2454: mergings( V1 == V2, V2 == V4, V4 == V9; #2450 ), references = 2, size of lhs = 14:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V1,V4), P_reverse_line-{F}(V5,V6), P_reverse_line-{F}(V6,V7), P_reverse_line-{F}(V8,V6), P_line_connecting-{F}(V9,V10,V8), P_line_connecting-{F}(V10,V9,V5), distinct_points-{F}(V11,V12), distinct_points-{F}(V12,V11), pppp8-{F}(V11,V3,V12), P_line_connecting-{F}(V12,V11,V13), pppp6-{F}(V14,V3,V15,V16,V8) | unequally_directed_lines-{T}(V3,V13)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2465: mergings( V4 == V7, V13 == V14, V14 == V16, V16 == V18, V28 == V31; #2459 ), references = 1, size of lhs = 21:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V9,V12), P_reverse_line-{F}(V13,V14), P_reverse_line-{F}(V14,V15), P_reverse_line-{F}(V16,V14), P_line_connecting-{F}(V17,V18,V16), P_line_connecting-{F}(V18,V17,V13), distinct_points-{F}(V19,V20), distinct_points-{F}(V20,V19), pppp8-{F}(V19,V11,V20), pppp6-{F}(V21,V11,V22,V23,V16), pppp6-{F}(V24,V11,V25,V23,V3) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2479: mergings( V7 == V10, V10 == V11, V18 == V21, V21 == V22, V22 == V23, V23 == V25, V25 == V27, V3 == V6, V4 == V11; #2469 ), references = 2, size of lhs = 26:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V3,V6), P_reverse_line-{F}(V7,V3), P_reverse_line-{F}(V8,V3), P_reverse_line-{F}(V9,V3), P_line_connecting-{F}(V10,V1,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V9), P_reverse_line-{F}(V13,V14), P_reverse_line-{F}(V15,V14), P_reverse_line-{F}(V16,V14), P_reverse_line-{F}(V17,V14), P_reverse_line-{F}(V18,V14), P_reverse_line-{F}(V14,V19), P_line_connecting-{F}(V20,V21,V9), P_line_connecting-{F}(V21,V20,V7), P_line_connecting-{F}(V22,V23,V11), P_line_connecting-{F}(V23,V22,V12), P_line_connecting-{F}(V24,V25,V9), P_line_connecting-{F}(V25,V24,V8), distinct_points-{F}(V26,V27), distinct_points-{F}(V27,V26), pppp8-{F}(V26,V18,V27) | distinct_points-{T}(V0,V10)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2554: mergings( V1 == V5, V5 == V7; #2534 ), references = 1, size of lhs = 7:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V3), P_parallel_through_point-{F}(V6,V7,V5), pppp6-{F}(V8,V9,V1,V3,V10), pppp6-{F}(V11,V6,V12,V13,V2) | pppp3-{T}(V0,V5,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2557: mergings( V1 == V5, V5 == V7; #2535 ), references = 1, size of lhs = 7:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V3), P_parallel_through_point-{F}(V6,V7,V5), pppp6-{F}(V8,V3,V1,V9,V10), pppp6-{F}(V11,V6,V12,V13,V2) | pppp3-{T}(V0,V5,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2561: mergings( V1 == V5, V5 == V7, V6 == V8; #2536 ), references = 5, size of lhs = 6:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V4,V5), P_parallel_through_point-{F}(V6,V7,V3), pppp6-{F}(V8,V6,V9,V10,V2) | pppp3-{T}(V0,V3,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2579: mergings( V4 == V6; #2577 ), references = 1, size of lhs = 11:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V3), P_parallel_through_point-{F}(V0,V6,V7), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V8,V9), distinct_points-{F}(V10,V11), pppp8-{F}(V10,V7,V11), before_on_line-{F}(V7,V11,V10) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2589: mergings( V4 == V6, V12 == V14, V13 == V15, V17 == V19; #2584 ), references = 2, size of lhs = 17:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V3), P_parallel_through_point-{F}(V0,V6,V7), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V11), P_reverse_line-{F}(V11,V12), P_parallel_through_point-{F}(V10,V13,V7), P_reverse_line-{F}(V14,V11), P_line_connecting-{F}(V15,V16,V10), P_line_connecting-{F}(V16,V15,V14), distinct_points-{F}(V17,V18), distinct_points-{F}(V18,V17), pppp8-{F}(V17,V7,V18) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2591: exists( #78, #2589 ), references = 1, size of lhs = 16:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V3), P_parallel_through_point-{F}(V0,V6,V7), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V10,V11), P_parallel_through_point-{F}(V9,V12,V7), P_reverse_line-{F}(V13,V10), P_line_connecting-{F}(V14,V15,V9), P_line_connecting-{F}(V15,V14,V13), distinct_points-{F}(V16,V17), distinct_points-{F}(V17,V16), pppp8-{F}(V16,V7,V17) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2593: exists( #78, #2590 ), references = 1, size of lhs = 15:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_line_connecting-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V3), P_parallel_through_point-{F}(V0,V6,V7), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V9,V10), P_parallel_through_point-{F}(V8,V11,V7), P_reverse_line-{F}(V12,V9), P_line_connecting-{F}(V13,V14,V8), P_line_connecting-{F}(V14,V13,V12), distinct_points-{F}(V15,V16), distinct_points-{F}(V16,V15), pppp8-{F}(V15,V7,V16) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2597: exists( #73, #2595 ), references = 1, size of lhs = 13:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V1), P_parallel_through_point-{F}(V0,V4,V5), pppp9-{F}(V5,V6), P_line_connecting-{F}(V7,V8,V0), P_line_connecting-{F}(V8,V7,V3), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V10,V11), P_parallel_through_point-{F}(V9,V12,V5), P_reverse_line-{F}(V13,V10), P_line_connecting-{F}(V14,V15,V9), P_line_connecting-{F}(V15,V14,V13) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2615: mergings( V4 == V7; #2613 ), references = 1, size of lhs = 13:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), P_parallel_through_point-{F}(V3,V8,V9), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V10,V11), distinct_points-{F}(V12,V13), pppp8-{F}(V12,V9,V13), before_on_line-{F}(V9,V13,V12) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2625: mergings( V4 == V7, V13 == V16, V23 == V25, V24 == V26; #2620 ), references = 2, size of lhs = 21:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V11), P_reverse_line-{F}(V13,V11), P_line_connecting-{F}(V14,V15,V12), P_line_connecting-{F}(V15,V14,V13), P_parallel_through_point-{F}(V11,V16,V17), P_reverse_line-{F}(V17,V18), P_reverse_line-{F}(V18,V19), P_parallel_through_point-{F}(V3,V20,V17), distinct_points-{F}(V21,V22), distinct_points-{F}(V22,V21), pppp8-{F}(V21,V17,V22) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2633: exists( #78, #2625 ), references = 1, size of lhs = 20:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V11), P_reverse_line-{F}(V13,V11), P_line_connecting-{F}(V14,V15,V12), P_line_connecting-{F}(V15,V14,V13), P_parallel_through_point-{F}(V11,V16,V17), P_reverse_line-{F}(V17,V18), P_parallel_through_point-{F}(V3,V19,V17), distinct_points-{F}(V20,V21), distinct_points-{F}(V21,V20), pppp8-{F}(V20,V17,V21) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2635: exists( #78, #2630 ), references = 1, size of lhs = 19:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V11), P_reverse_line-{F}(V13,V11), P_line_connecting-{F}(V14,V15,V12), P_line_connecting-{F}(V15,V14,V13), P_parallel_through_point-{F}(V11,V16,V17), P_parallel_through_point-{F}(V3,V18,V17), distinct_points-{F}(V19,V20), distinct_points-{F}(V20,V19), pppp8-{F}(V19,V17,V20) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2639: exists( #73, #2637 ), references = 1, size of lhs = 17:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V11), P_reverse_line-{F}(V13,V11), P_line_connecting-{F}(V14,V15,V12), P_line_connecting-{F}(V15,V14,V13), P_parallel_through_point-{F}(V11,V16,V17), pppp9-{F}(V17,V18), P_parallel_through_point-{F}(V3,V19,V17) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2646: exists( #78, #2644 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V4), P_reverse_line-{F}(V4,V5), distinct_points-{F}(V6,V7), pppp8-{F}(V6,V0,V7), before_on_line-{F}(V0,V7,V6), P_line_connecting-{F}(V6,V7,V5) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2650: exists( #78, #2648 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V4), distinct_points-{F}(V5,V6), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V4), pppp8-{F}(V5,V4,V6), P_line_connecting-{F}(V5,V6,V1) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2686: mergings( V1 == V2, V2 == V4; #2683 ), references = 2, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V8,V7,V9), P_reverse_line-{F}(V9,V10), pppp6-{F}(V11,V10,V12,V13,V6) | pppp3-{T}(V4,V3,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2699: mergings( V4 == V7; #2697 ), references = 1, size of lhs = 16:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_line_connecting-{F}(V7,V8,V4), P_line_connecting-{F}(V8,V7,V5), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V11,V10), P_reverse_line-{F}(V12,V10), P_line_connecting-{F}(V13,V14,V12), P_line_connecting-{F}(V14,V13,V6), distinct_points-{F}(V15,V16), pppp8-{F}(V15,V12,V16), before_on_line-{F}(V12,V16,V15) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2710: mergings( V4 == V7, V14 == V17, V17 == V18, V18 == V19, V25 == V28; #2704 ), references = 1, size of lhs = 28:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_line_connecting-{F}(V7,V8,V4), P_line_connecting-{F}(V8,V7,V5), P_reverse_line-{F}(V9,V10), P_reverse_line-{F}(V11,V10), P_reverse_line-{F}(V12,V10), P_reverse_line-{F}(V13,V10), P_reverse_line-{F}(V14,V10), P_line_connecting-{F}(V15,V16,V14), P_line_connecting-{F}(V16,V15,V6), P_reverse_line-{F}(V17,V18), P_reverse_line-{F}(V19,V18), P_reverse_line-{F}(V20,V18), P_reverse_line-{F}(V21,V20), P_reverse_line-{F}(V22,V20), P_reverse_line-{F}(V23,V20), P_line_connecting-{F}(V24,V25,V21), P_line_connecting-{F}(V25,V24,V22), P_line_connecting-{F}(V26,V27,V14), P_line_connecting-{F}(V27,V26,V23), distinct_points-{F}(V28,V29), distinct_points-{F}(V29,V28), pppp8-{F}(V28,V14,V29) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2714: mergings( V3 == V6, V15 == V18; #2711 ), references = 1, size of lhs = 23:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_line_connecting-{F}(V7,V8,V4), P_line_connecting-{F}(V8,V7,V5), P_line_connecting-{F}(V9,V10,V6), P_line_connecting-{F}(V10,V9,V11), P_reverse_line-{F}(V12,V13), P_reverse_line-{F}(V14,V13), P_reverse_line-{F}(V15,V13), P_reverse_line-{F}(V16,V15), P_reverse_line-{F}(V17,V15), P_reverse_line-{F}(V18,V15), P_line_connecting-{F}(V19,V20,V16), P_line_connecting-{F}(V20,V19,V17), P_line_connecting-{F}(V21,V22,V11), P_line_connecting-{F}(V22,V21,V18), distinct_points-{F}(V23,V24), distinct_points-{F}(V24,V23), pppp8-{F}(V23,V11,V24) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2720: mergings( V4 == V7, V16 == V19; #2717 ), references = 1, size of lhs = 21:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_line_connecting-{F}(V7,V8,V4), P_line_connecting-{F}(V8,V7,V5), P_line_connecting-{F}(V9,V10,V6), P_line_connecting-{F}(V10,V9,V11), pppp9-{F}(V11,V12), P_reverse_line-{F}(V13,V14), P_reverse_line-{F}(V15,V14), P_reverse_line-{F}(V16,V14), P_reverse_line-{F}(V17,V16), P_reverse_line-{F}(V18,V16), P_reverse_line-{F}(V19,V16), P_line_connecting-{F}(V20,V21,V17), P_line_connecting-{F}(V21,V20,V18), P_line_connecting-{F}(V22,V23,V11), P_line_connecting-{F}(V23,V22,V19) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2740: mergings( V9 == V12, V23 == V26; #2737 ), references = 1, size of lhs = 19:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V1,V4), P_reverse_line-{F}(V5,V6), P_reverse_line-{F}(V6,V7), P_reverse_line-{F}(V8,V6), P_line_connecting-{F}(V9,V10,V8), P_line_connecting-{F}(V10,V9,V5), P_reverse_line-{F}(V11,V12), P_reverse_line-{F}(V12,V13), P_reverse_line-{F}(V14,V12), P_line_connecting-{F}(V15,V16,V14), P_line_connecting-{F}(V16,V15,V11), distinct_points-{F}(V17,V18), distinct_points-{F}(V18,V17), pppp8-{F}(V17,V3,V18), pppp6-{F}(V19,V3,V20,V21,V14), pppp6-{F}(V22,V3,V23,V21,V8) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2786: mergings( V1 == V2, V2 == V4, V3 == V5, V12 == V15; #2781 ), references = 2, size of lhs = 6:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V4,V5), pppp6-{F}(V6,V7,V8,V9,V2), pppp6-{F}(V10,V7,V11,V9,V3) | pppp3-{T}(V0,V3,V1)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2802: mergings( V4 == V7; #2800 ), references = 1, size of lhs = 13:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), distinct_points-{F}(V8,V9), pppp8-{F}(V8,V10,V9), before_on_line-{F}(V10,V9,V8), P_reverse_line-{F}(V10,V11), P_reverse_line-{F}(V11,V12), pppp6-{F}(V13,V3,V14,V1,V10) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2815: mergings( V4 == V7, V13 == V16, V22 == V23, V21 == V25, V25 == V26, V26 == V27, V23 == V28; #2807 ), references = 2, size of lhs = 21:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V10,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V11), P_reverse_line-{F}(V13,V11), P_line_connecting-{F}(V14,V15,V12), P_line_connecting-{F}(V15,V14,V13), P_reverse_line-{F}(V16,V17), P_reverse_line-{F}(V18,V16), pppp6-{F}(V19,V11,V20,V9,V18), distinct_points-{F}(V21,V22), distinct_points-{F}(V22,V21), pppp8-{F}(V21,V18,V22), pppp6-{F}(V23,V3,V24,V25,V18) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2833: exists( #78, #2085 ), references = 1, size of lhs = 9:
% 263.35/263.57 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V0), P_line_connecting-{F}(V0,V1,V2), pppp8-{F}(V0,V3,V1), P_line_connecting-{F}(V1,V0,V4), P_line_connecting-{F}(V5,V6,V2), P_line_connecting-{F}(V6,V5,V2), P_line_connecting-{F}(V7,V8,V4), P_line_connecting-{F}(V8,V7,V4) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2856: mergings( V4 == V7; #2854 ), references = 3, size of lhs = 14:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5), P_reverse_line-{F}(V8,V9), P_reverse_line-{F}(V9,V10), distinct_points-{F}(V11,V12), pppp8-{F}(V11,V8,V12), before_on_line-{F}(V8,V12,V11), pppp6-{F}(V13,V8,V14,V15,V16), pppp6-{F}(V17,V3,V18,V19,V16) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2876: mergings( V32 == V35, V35 == V37, V12 == V13, V52 == V54, V23 == V13, V14 == V19, V15 == V24, V51 == V53; #2867 ), references = 1, size of lhs = 44:
% 263.35/263.57 distinct_points-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V3,V6), P_reverse_line-{F}(V7,V3), P_reverse_line-{F}(V8,V3), P_reverse_line-{F}(V9,V3), P_line_connecting-{F}(V10,V1,V9), P_reverse_line-{F}(V11,V9), P_reverse_line-{F}(V12,V9), P_line_connecting-{F}(V10,V13,V14), P_reverse_line-{F}(V14,V15), P_reverse_line-{F}(V16,V15), P_reverse_line-{F}(V17,V15), P_reverse_line-{F}(V18,V15), P_reverse_line-{F}(V19,V15), P_reverse_line-{F}(V15,V20), P_line_connecting-{F}(V21,V22,V9), P_line_connecting-{F}(V22,V21,V7), P_line_connecting-{F}(V23,V24,V11), P_line_connecting-{F}(V24,V23,V12), P_line_connecting-{F}(V25,V26,V9), P_line_connecting-{F}(V26,V25,V8), P_reverse_line-{F}(V27,V28), P_reverse_line-{F}(V29,V28), P_reverse_line-{F}(V28,V30), P_reverse_line-{F}(V31,V28), P_reverse_line-{F}(V32,V28), P_reverse_line-{F}(V33,V28), P_reverse_line-{F}(V34,V28), P_reverse_line-{F}(V35,V34), P_reverse_line-{F}(V36,V34), P_reverse_line-{F}(V37,V34), P_reverse_line-{F}(V38,V34), P_line_connecting-{F}(V39,V40,V34), P_line_connecting-{F}(V40,V39,V33), P_line_connecting-{F}(V41,V42,V35), P_line_connecting-{F}(V42,V41,V36), P_line_connecting-{F}(V43,V44,V37), P_line_connecting-{F}(V44,V43,V38), distinct_points-{F}(V45,V46), distinct_points-{F}(V46,V45), pppp8-{F}(V45,V14,V46) | distinct_points-{T}(V0,V13)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2939: mergings( V9 == V10, V1 == V2, V2 == V4; #2933 ), references = 4, size of lhs = 7:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V4,V2), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V7), pppp6-{F}(V8,V0,V9,V10,V7) | pppp3-{T}(V5,V3,V6)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2942: mergings( V1 == V2, V2 == V4; #2934 ), references = 1, size of lhs = 8:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V8), pppp6-{F}(V9,V0,V10,V11,V8) | pppp3-{T}(V6,V4,V7)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2945: mergings( V1 == V2, V2 == V4; #2935 ), references = 5, size of lhs = 9:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V8,V9), pppp6-{F}(V10,V8,V11,V12,V6), pppp6-{F}(V13,V7,V14,V15,V6) | pppp3-{T}(V4,V2,V5)
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2960: mergings( V3 == V4, V4 == V7, V7 == V8, V8 == V9, V19 == V20, V20 == V22, V22 == V24, V24 == V25; #2951 ), references = 1, size of lhs = 20:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), P_reverse_line-{F}(V2,V0), P_reverse_line-{F}(V3,V0), P_reverse_line-{F}(V4,V0), P_reverse_line-{F}(V5,V0), P_reverse_line-{F}(V6,V0), P_reverse_line-{F}(V7,V0), P_reverse_line-{F}(V8,V0), P_line_connecting-{F}(V9,V10,V5), P_line_connecting-{F}(V10,V9,V6), P_reverse_line-{F}(V11,V12), P_reverse_line-{F}(V13,V12), P_reverse_line-{F}(V14,V12), P_reverse_line-{F}(V12,V15), P_line_connecting-{F}(V16,V17,V7), P_line_connecting-{F}(V17,V16,V8), distinct_points-{F}(V18,V19), distinct_points-{F}(V19,V18), pppp8-{F}(V18,V14,V19) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2973: mergings( V3 == V4, V4 == V7; #2969 ), references = 2, size of lhs = 13:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), P_reverse_line-{F}(V2,V0), P_reverse_line-{F}(V3,V0), P_reverse_line-{F}(V4,V0), P_line_connecting-{F}(V5,V6,V3), P_line_connecting-{F}(V6,V5,V4), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V9,V8), P_reverse_line-{F}(V10,V8), distinct_points-{F}(V11,V12), pppp8-{F}(V11,V9,V12), before_on_line-{F}(V9,V12,V11) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2977: mergings( V3 == V4, V4 == V7, V13 == V16; #2970 ), references = 1, size of lhs = 18:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), P_reverse_line-{F}(V2,V0), P_reverse_line-{F}(V3,V0), P_reverse_line-{F}(V4,V0), P_line_connecting-{F}(V5,V6,V3), P_line_connecting-{F}(V6,V5,V4), P_reverse_line-{F}(V7,V8), P_reverse_line-{F}(V9,V8), P_reverse_line-{F}(V10,V8), P_reverse_line-{F}(V11,V8), P_reverse_line-{F}(V12,V8), distinct_points-{F}(V13,V14), pppp8-{F}(V13,V10,V14), distinct_points-{F}(V14,V13), P_line_connecting-{F}(V14,V13,V15), P_line_connecting-{F}(V16,V17,V15), P_line_connecting-{F}(V17,V16,V15) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2988: mergings( V3 == V4, V4 == V7, V18 == V21; #2984 ), references = 1, size of lhs = 22:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), P_reverse_line-{F}(V2,V0), P_reverse_line-{F}(V3,V0), P_reverse_line-{F}(V4,V0), P_reverse_line-{F}(V5,V5), P_reverse_line-{F}(V6,V5), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V5), P_reverse_line-{F}(V9,V5), P_line_connecting-{F}(V10,V11,V3), P_line_connecting-{F}(V11,V10,V4), P_reverse_line-{F}(V12,V13), P_reverse_line-{F}(V14,V13), P_reverse_line-{F}(V15,V13), P_reverse_line-{F}(V16,V13), P_reverse_line-{F}(V17,V13), P_line_connecting-{F}(V18,V19,V8), P_line_connecting-{F}(V19,V18,V9), distinct_points-{F}(V20,V21), distinct_points-{F}(V21,V20), pppp8-{F}(V20,V15,V21) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2992: mergings( V2 == V3, V3 == V6; #2989 ), references = 1, size of lhs = 17:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), P_reverse_line-{F}(V2,V0), P_reverse_line-{F}(V3,V0), P_reverse_line-{F}(V4,V0), P_reverse_line-{F}(V5,V5), P_reverse_line-{F}(V6,V5), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V5), P_reverse_line-{F}(V9,V5), P_line_connecting-{F}(V10,V11,V3), P_line_connecting-{F}(V11,V10,V4), P_line_connecting-{F}(V12,V13,V8), P_line_connecting-{F}(V13,V12,V9), distinct_points-{F}(V14,V15), distinct_points-{F}(V15,V14), pppp8-{F}(V14,V16,V15) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #2998: mergings( V3 == V4, V4 == V7; #2995 ), references = 1, size of lhs = 15:
% 263.35/263.57 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), P_reverse_line-{F}(V2,V0), P_reverse_line-{F}(V3,V0), P_reverse_line-{F}(V4,V0), P_reverse_line-{F}(V5,V5), P_reverse_line-{F}(V6,V5), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V5), P_reverse_line-{F}(V9,V5), pppp9-{F}(V10,V11), P_line_connecting-{F}(V12,V13,V3), P_line_connecting-{F}(V13,V12,V4), P_line_connecting-{F}(V14,V15,V8), P_line_connecting-{F}(V15,V14,V9) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3034: mergings( V4 == V7, V7 == V8, V8 == V9, V6 == V13, V9 == V14, V13 == V15, V26 == V29, V29 == V30; #3025 ), references = 1, size of lhs = 24:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V1), P_reverse_line-{F}(V6,V5), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V5), P_reverse_line-{F}(V9,V5), P_reverse_line-{F}(V10,V5), P_reverse_line-{F}(V11,V5), P_line_connecting-{F}(V12,V13,V6), P_line_connecting-{F}(V13,V12,V7), P_line_connecting-{F}(V14,V15,V8), P_line_connecting-{F}(V15,V14,V9), P_reverse_line-{F}(V16,V17), P_reverse_line-{F}(V18,V17), P_reverse_line-{F}(V19,V17), P_reverse_line-{F}(V17,V20), P_line_connecting-{F}(V21,V22,V10), P_line_connecting-{F}(V22,V21,V11), distinct_points-{F}(V23,V24), distinct_points-{F}(V24,V23), pppp8-{F}(V23,V19,V24) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3054: mergings( V4 == V7, V7 == V8, V6 == V10, V8 == V11, V10 == V12; #3047 ), references = 2, size of lhs = 17:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_line_connecting-{F}(V8,V9,V4), P_line_connecting-{F}(V9,V8,V5), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V7), P_reverse_line-{F}(V12,V13), P_reverse_line-{F}(V14,V13), P_reverse_line-{F}(V15,V13), distinct_points-{F}(V16,V17), pppp8-{F}(V16,V14,V17), before_on_line-{F}(V14,V17,V16) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3061: mergings( V4 == V7, V7 == V8, V6 == V10, V8 == V11, V10 == V12, V21 == V24; #3048 ), references = 1, size of lhs = 22:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_line_connecting-{F}(V8,V9,V4), P_line_connecting-{F}(V9,V8,V5), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V7), P_reverse_line-{F}(V12,V13), P_reverse_line-{F}(V14,V13), P_reverse_line-{F}(V15,V13), P_reverse_line-{F}(V16,V13), P_reverse_line-{F}(V17,V13), distinct_points-{F}(V18,V19), pppp8-{F}(V18,V15,V19), distinct_points-{F}(V19,V18), P_line_connecting-{F}(V19,V18,V20), P_line_connecting-{F}(V21,V22,V20), P_line_connecting-{F}(V22,V21,V20) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3077: mergings( V4 == V7, V7 == V8, V6 == V10, V8 == V11, V10 == V12, V21 == V24; #3070 ), references = 1, size of lhs = 30:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_line_connecting-{F}(V8,V9,V4), P_line_connecting-{F}(V9,V8,V5), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V7), P_reverse_line-{F}(V12,V13), P_reverse_line-{F}(V14,V13), P_reverse_line-{F}(V15,V13), P_reverse_line-{F}(V16,V13), P_reverse_line-{F}(V17,V13), P_reverse_line-{F}(V18,V19), P_reverse_line-{F}(V20,V19), P_reverse_line-{F}(V21,V19), P_reverse_line-{F}(V22,V21), P_reverse_line-{F}(V23,V21), P_reverse_line-{F}(V24,V21), P_reverse_line-{F}(V25,V21), P_line_connecting-{F}(V26,V27,V22), P_line_connecting-{F}(V27,V26,V23), P_line_connecting-{F}(V28,V29,V24), P_line_connecting-{F}(V29,V28,V25), distinct_points-{F}(V30,V31), distinct_points-{F}(V31,V30), pppp8-{F}(V30,V15,V31) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3084: mergings( V3 == V6, V6 == V7, V5 == V9, V7 == V10, V9 == V11; #3078 ), references = 1, size of lhs = 25:
% 263.35/263.57 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_line_connecting-{F}(V8,V9,V4), P_line_connecting-{F}(V9,V8,V5), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V7), P_reverse_line-{F}(V12,V13), P_reverse_line-{F}(V14,V13), P_reverse_line-{F}(V15,V13), P_reverse_line-{F}(V16,V15), P_reverse_line-{F}(V17,V15), P_reverse_line-{F}(V18,V15), P_reverse_line-{F}(V19,V15), P_line_connecting-{F}(V20,V21,V16), P_line_connecting-{F}(V21,V20,V17), P_line_connecting-{F}(V22,V23,V18), P_line_connecting-{F}(V23,V22,V19), distinct_points-{F}(V24,V25), distinct_points-{F}(V25,V24), pppp8-{F}(V24,V26,V25) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3093: mergings( V4 == V7, V7 == V8, V6 == V10, V8 == V11, V10 == V12; #3087 ), references = 1, size of lhs = 23:
% 263.35/263.57 pppp9-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V5), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V5), P_reverse_line-{F}(V9,V5), P_line_connecting-{F}(V10,V11,V6), P_line_connecting-{F}(V11,V10,V7), P_line_connecting-{F}(V12,V13,V8), P_line_connecting-{F}(V13,V12,V9), P_reverse_line-{F}(V14,V15), P_reverse_line-{F}(V16,V15), P_reverse_line-{F}(V17,V15), P_reverse_line-{F}(V18,V17), P_reverse_line-{F}(V19,V17), P_reverse_line-{F}(V20,V17), P_reverse_line-{F}(V21,V17), P_line_connecting-{F}(V22,V23,V18), P_line_connecting-{F}(V23,V22,V19), P_line_connecting-{F}(V24,V25,V20), P_line_connecting-{F}(V25,V24,V21) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3096: mergings( V0 == V5; #3094 ), references = 1, size of lhs = 17:
% 263.35/263.57 pppp9-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_reverse_line-{F}(V7,V3), P_reverse_line-{F}(V8,V3), P_reverse_line-{F}(V9,V3), P_reverse_line-{F}(V10,V3), P_line_connecting-{F}(V11,V12,V2), P_line_connecting-{F}(V12,V11,V4), P_line_connecting-{F}(V13,V14,V5), P_line_connecting-{F}(V14,V13,V6), P_line_connecting-{F}(V15,V16,V7), P_line_connecting-{F}(V16,V15,V8), P_line_connecting-{F}(V17,V18,V9), P_line_connecting-{F}(V18,V17,V10) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3099: mergings( V3 == V4; #3097 ), references = 2, size of lhs = 17:
% 263.35/263.57 pppp10-{F}(V0), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V4,V2), P_reverse_line-{F}(V5,V2), P_reverse_line-{F}(V6,V2), P_reverse_line-{F}(V7,V2), P_reverse_line-{F}(V8,V2), P_reverse_line-{F}(V9,V2), P_line_connecting-{F}(V10,V11,V1), P_line_connecting-{F}(V11,V10,V3), P_line_connecting-{F}(V12,V13,V4), P_line_connecting-{F}(V13,V12,V5), P_line_connecting-{F}(V14,V15,V6), P_line_connecting-{F}(V15,V14,V7), P_line_connecting-{F}(V16,V17,V8), P_line_connecting-{F}(V17,V16,V9) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3101: exists( #78, #3099 ), references = 1, size of lhs = 9:
% 263.35/263.57 pppp10-{F}(V0), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V2,V1,V3), P_line_connecting-{F}(V4,V5,V3), P_line_connecting-{F}(V5,V4,V3), P_line_connecting-{F}(V6,V7,V3), P_line_connecting-{F}(V7,V6,V3), P_line_connecting-{F}(V8,V9,V3), P_line_connecting-{F}(V9,V8,V3) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3103: exists( #79, #3100 ), references = 1, size of lhs = 1:
% 263.35/263.57 pppp10-{F}(V0) | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 #3105: exists( #71, #3102 ), references = 1, size of lhs = 0:
% 263.35/263.57 FALSE | FALSE
% 263.35/263.57 (used 0 times, uses = {})
% 263.35/263.57
% 263.35/263.57 number of learnt formulas = 125
% 263.35/263.57
% 263.35/263.57
% 263.35/263.57 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 263.35/263.57
% 263.35/263.57 randbase = 1
%------------------------------------------------------------------------------