TSTP Solution File: GEO261+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO261+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:02:20 EDT 2022
% Result : Theorem 7.92s 8.12s
% Output : Refutation 7.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO261+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 18:04:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.92/8.12 GeoParameters:
% 7.92/8.12
% 7.92/8.12 tptp_input = 1
% 7.92/8.12 tptp_output = 0
% 7.92/8.12 nonempty = 1
% 7.92/8.12 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.92/8.12 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.92/8.12
% 7.92/8.12
% 7.92/8.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.92/8.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.92/8.12
% 7.92/8.12 RuleSystem INPUT:
% 7.92/8.12
% 7.92/8.12 Initial Rules:
% 7.92/8.12 #0: input, references = 3, size of lhs = 1:
% 7.92/8.12 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #1: input, references = 3, size of lhs = 1:
% 7.92/8.12 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #2: input, references = 3, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #3: input, references = 3, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #4: input, references = 3, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | pppp0-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #5: input, references = 11, size of lhs = 1:
% 7.92/8.12 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #6: input, references = 3, size of lhs = 1:
% 7.92/8.12 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #7: input, references = 11, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #8: input, references = 4, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #9: input, references = 3, size of lhs = 3:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2) | pppp1-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #10: input, references = 3, size of lhs = 1:
% 7.92/8.12 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #11: input, references = 3, size of lhs = 1:
% 7.92/8.12 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #12: input, references = 3, size of lhs = 3:
% 7.92/8.12 #-{F} V0, #-{F} V2, P_reverse_line-{F}(V1,V3) | pppp5-{T}(V0,V1,V2,V3)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #13: input, references = 3, size of lhs = 3:
% 7.92/8.12 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V3), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #14: input, references = 3, size of lhs = 3:
% 7.92/8.12 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V3) | pppp2-{T}(V0,V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #15: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V2,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #16: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V0,V3)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #17: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #18: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V3)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #19: input, references = 5, size of lhs = 1:
% 7.92/8.12 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #20: input, references = 3, size of lhs = 1:
% 7.92/8.12 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #21: input, references = 5, size of lhs = 3:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #22: input, references = 3, size of lhs = 3:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #23: input, references = 5, size of lhs = 2:
% 7.92/8.12 pppp6-{F}(V0,V1,V2,V3,V4), unequally_directed_lines-{F}(V1,V4) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #24: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V3) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #25: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V1) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #26: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V3) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #27: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V1) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #28: input, references = 3, size of lhs = 1:
% 7.92/8.12 pppp6-{F}(V0,V1,V2,V3,V4) | distinct_points-{T}(V0,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #29: input, references = 9, size of lhs = 1:
% 7.92/8.12 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #30: input, references = 3, size of lhs = 1:
% 7.92/8.12 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #31: input, references = 10, size of lhs = 4:
% 7.92/8.12 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #32: input, references = 5, size of lhs = 3:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #33: input, references = 3, size of lhs = 3:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #34: input, references = 4, size of lhs = 2:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #35: input, references = 4, size of lhs = 2:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #36: input, references = 3, size of lhs = 2:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #37: input, references = 3, size of lhs = 2:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #38: input, references = 3, size of lhs = 1:
% 7.92/8.12 distinct_points-{F}(V0,V0) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #39: input, references = 3, size of lhs = 2:
% 7.92/8.12 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #40: input, references = 3, size of lhs = 1:
% 7.92/8.12 distinct_lines-{F}(V0,V0) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #41: input, references = 3, size of lhs = 2:
% 7.92/8.12 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #42: input, references = 3, size of lhs = 1:
% 7.92/8.12 unequally_directed_lines-{F}(V0,V0) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #43: input, references = 6, size of lhs = 2:
% 7.92/8.12 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #44: input, references = 3, size of lhs = 4:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #45: input, references = 3, size of lhs = 4:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #46: input, references = 3, size of lhs = 4:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #47: input, references = 3, size of lhs = 4:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #48: input, references = 3, size of lhs = 3:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), line-{F}(V0), line-{F}(V2) | unequally_directed_lines-{T}(V2,V0), unequally_directed_lines-{T}(V2,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #49: input, references = 4, size of lhs = 3:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #50: input, references = 3, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #51: input, references = 3, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #52: input, references = 4, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #53: input, references = 4, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #54: input, references = 3, size of lhs = 4:
% 7.92/8.12 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #55: input, references = 3, size of lhs = 6:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #56: input, references = 3, size of lhs = 3:
% 7.92/8.12 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #57: input, references = 3, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #58: input, references = 3, size of lhs = 3:
% 7.92/8.12 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #59: input, references = 3, size of lhs = 3:
% 7.92/8.12 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #60: input, references = 3, size of lhs = 5:
% 7.92/8.12 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
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #61: input, references = 3, size of lhs = 5:
% 7.92/8.12 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
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #62: input, references = 3, size of lhs = 2:
% 7.92/8.12 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #63: input, references = 3, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #64: input, references = 6, size of lhs = 4:
% 7.92/8.12 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
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #65: input, references = 6, size of lhs = 2:
% 7.92/8.12 P_parallel_through_point-{F}(V1,V0,V2), unequally_directed_lines-{F}(V2,V1) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #66: input, references = 3, size of lhs = 4:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #67: input, references = 3, size of lhs = 3:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #68: input, references = 3, size of lhs = 2:
% 7.92/8.12 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #69: input, references = 3, size of lhs = 3:
% 7.92/8.12 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)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #70: input, references = 3, size of lhs = 2:
% 7.92/8.12 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #71: input, references = 4, size of lhs = 0:
% 7.92/8.12 FALSE | EXISTS V0: pppp12-{T}(V0)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #72: input, references = 4, size of lhs = 1:
% 7.92/8.12 pppp12-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #73: input, references = 5, size of lhs = 1:
% 7.92/8.12 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #74: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp11-{F}(V0,V1), apart_point_and_line-{F}(V1,V0) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #75: input, references = 6, size of lhs = 1:
% 7.92/8.12 pppp10-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V3,V0,V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #76: input, references = 9, size of lhs = 1:
% 7.92/8.12 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2,V3)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #77: input, references = 3, size of lhs = 2:
% 7.92/8.12 pppp9-{F}(V0,V1,V2,V3), divides_points-{F}(V1,V0,V3) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #78: input, references = 11, size of lhs = 1:
% 7.92/8.12 pppp8-{F}(V0,V1,V2,V3,V4) | convergent_lines-{T}(V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #79: input, references = 9, size of lhs = 1:
% 7.92/8.12 pppp8-{F}(V0,V1,V2,V3,V4) | between_on_line-{T}(V1,V0,V3,V4)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #80: input, references = 5, size of lhs = 1:
% 7.92/8.12 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #81: input, references = 3, size of lhs = 2:
% 7.92/8.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #82: input, references = 3, size of lhs = 2:
% 7.92/8.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #83: input, references = 3, size of lhs = 2:
% 7.92/8.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 number of initial rules = 84
% 7.92/8.12
% 7.92/8.12 Simplifiers:
% 7.92/8.12 #84: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #85: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #86: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #87: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #88: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #89: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #90: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V6,V2,V8,V9), V4 == V9 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #91: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #92: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V2,V3,V4), V0 == V5 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #93: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V2,V3,V9), V4 == V9 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #94: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V2,V8,V9), V3 == V8 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #95: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #96: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #97: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #98: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #99: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #100: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #101: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V4,V5), V1 == V4 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #102: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V0 == V3 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #103: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #104: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #105: unsound, references = 3, size of lhs = 3:
% 7.92/8.12 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 number of simplifiers = 22
% 7.92/8.12
% 7.92/8.12 Learnt:
% 7.92/8.12 #118: disj( #34, #19+#21+#23 ), references = 1, size of lhs = 5:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_line_connecting-{F}(V3,V4,V2), pppp7-{F}(V5,V0,V3,V4), pppp4-{F}(V5,V0,V3,V4) | before_on_line-{T}(V0,V3,V5)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #123: exists( #80, #121 ), references = 3, size of lhs = 6:
% 7.92/8.12 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_line_connecting-{F}(V3,V4,V2), pppp7-{F}(V4,V0,V3,V5), P_line_connecting-{F}(V3,V5,V1), pppp4-{F}(V4,V0,V3,V5) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #131: exists( #76, #129 ), references = 1, size of lhs = 4:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), pppp9-{F}(V3,V0,V2,V4), P_line_connecting-{F}(V2,V4,V0) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #141: mergings( V3 == V4; #139 ), references = 2, size of lhs = 5:
% 7.92/8.12 unequally_directed_lines-{F}(V0,V1), pppp7-{F}(V2,V0,V2,V2), P_line_connecting-{F}(V2,V2,V1), pppp7-{F}(V3,V0,V2,V2), pppp4-{F}(V3,V0,V2,V2) | before_on_line-{T}(V0,V2,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #159: exists( #76, #157 ), references = 1, size of lhs = 3:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_line_connecting-{F}(V2,V2,V0), pppp9-{F}(V3,V0,V2,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #161: exists( #75, #158 ), references = 1, size of lhs = 3:
% 7.92/8.12 pppp10-{F}(V0,V1,V1), P_line_connecting-{F}(V1,V1,V0), P_reverse_line-{F}(V0,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #171: disj( #43, input ), references = 9, size of lhs = 2:
% 7.92/8.12 unequally_directed_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unequally_directed_lines-{T}(V1,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #172: disj( #43, exists( #80, #121 ) ), references = 5, size of lhs = 5:
% 7.92/8.12 unequally_directed_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V4), pppp7-{F}(V3,V0,V2,V5), P_line_connecting-{F}(V2,V5,V4), pppp4-{F}(V3,V0,V2,V5) | unequally_directed_lines-{T}(V1,V4)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #173: disj( #43, input ), references = 1, size of lhs = 2:
% 7.92/8.12 unequally_directed_lines-{F}(V0,V1), pppp6-{F}(V2,V0,V3,V4,V5) | unequally_directed_lines-{T}(V1,V5)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #202: exists( #76, #198 ), references = 1, size of lhs = 8:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V3), P_parallel_through_point-{F}(V3,V4,V0), P_line_connecting-{F}(V5,V6,V2), P_line_connecting-{F}(V6,V5,V7), P_line_connecting-{F}(V8,V9,V7), pppp9-{F}(V9,V0,V8,V10), P_line_connecting-{F}(V8,V10,V7) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #203: exists( #76, #199 ), references = 1, size of lhs = 6:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V2,V4,V5), P_line_connecting-{F}(V6,V7,V5), pppp9-{F}(V7,V0,V6,V8), P_line_connecting-{F}(V6,V8,V5) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #236: exists( #76, #232 ), references = 1, size of lhs = 10:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_reverse_line-{F}(V4,V5), P_parallel_through_point-{F}(V5,V6,V2), P_line_connecting-{F}(V7,V8,V4), P_line_connecting-{F}(V8,V7,V9), P_parallel_through_point-{F}(V9,V10,V11), P_line_connecting-{F}(V12,V13,V11), pppp9-{F}(V13,V0,V12,V14), P_line_connecting-{F}(V12,V14,V11) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #237: exists( #76, #233 ), references = 1, size of lhs = 8:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V5,V2), P_parallel_through_point-{F}(V4,V6,V7), P_parallel_through_point-{F}(V7,V8,V9), P_line_connecting-{F}(V10,V11,V9), pppp9-{F}(V11,V0,V10,V12), P_line_connecting-{F}(V10,V12,V9) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #245: disj( #43, input ), references = 3, size of lhs = 4:
% 7.92/8.12 unequally_directed_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V4), P_reverse_line-{F}(V4,V5) | unequally_directed_lines-{T}(V1,V5)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #278: disj( #43, #245+#64 ), references = 1, size of lhs = 7:
% 7.92/8.12 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), P_reverse_line-{F}(V6,V5), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V9) | unequally_directed_lines-{T}(V0,V9)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #279: disj( #43, #245+#65 ), references = 1, size of lhs = 5:
% 7.92/8.12 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), P_parallel_through_point-{F}(V5,V6,V7) | unequally_directed_lines-{T}(V0,V7)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #283: mergings( V1 == V3; #280 ), references = 2, size of lhs = 3:
% 7.92/8.12 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V1,V2) | left_convergent_lines-{T}(V0,V2)
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #297: mergings( V1 == V5, V5 == V6, V6 == V7; #292 ), references = 1, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V0,V0), pppp9-{F}(V1,V0,V2,V3) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #303: mergings( V0 == V4, V4 == V5, V5 == V6; #298 ), references = 1, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V0,V0), pppp10-{F}(V0,V1,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #309: mergings( V0 == V3, V3 == V4, V4 == V5; #304 ), references = 1, size of lhs = 2:
% 7.92/8.12 P_reverse_line-{F}(V0,V0), pppp11-{F}(V0,V1) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #332: mergings( V5 == V6; #329 ), references = 1, size of lhs = 3:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), pppp9-{F}(V3,V0,V4,V5) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #336: mergings( V4 == V5; #333 ), references = 1, size of lhs = 3:
% 7.92/8.12 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), pppp10-{F}(V0,V3,V4) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #339: mergings( V3 == V4; #337 ), references = 1, size of lhs = 3:
% 7.92/8.12 pppp11-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V2) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #341: exists( #80, #337 ), references = 1, size of lhs = 1:
% 7.92/8.12 pppp11-{F}(V0,V1) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #343: exists( #72, #340 ), references = 1, size of lhs = 1:
% 7.92/8.12 pppp12-{F}(V0) | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 #345: exists( #71, #342 ), references = 1, size of lhs = 0:
% 7.92/8.12 FALSE | FALSE
% 7.92/8.12 (used 0 times, uses = {})
% 7.92/8.12
% 7.92/8.12 number of learnt formulas = 26
% 7.92/8.12
% 7.92/8.12
% 7.92/8.12 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.92/8.12
% 7.92/8.12 randbase = 1
%------------------------------------------------------------------------------