TSTP Solution File: GEO250+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO250+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:02:18 EDT 2022
% Result : Theorem 2.14s 2.32s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO250+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 17:16:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.14/2.32 GeoParameters:
% 2.14/2.32
% 2.14/2.32 tptp_input = 1
% 2.14/2.32 tptp_output = 0
% 2.14/2.32 nonempty = 1
% 2.14/2.32 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.32 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.14/2.32
% 2.14/2.32
% 2.14/2.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.32 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.32
% 2.14/2.32 RuleSystem INPUT:
% 2.14/2.32
% 2.14/2.32 Initial Rules:
% 2.14/2.32 #0: input, references = 3, size of lhs = 1:
% 2.14/2.32 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #1: input, references = 3, size of lhs = 1:
% 2.14/2.32 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #2: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #3: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #4: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | pppp0-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #5: input, references = 3, size of lhs = 1:
% 2.14/2.32 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #6: input, references = 3, size of lhs = 1:
% 2.14/2.32 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #7: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #8: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #9: input, references = 3, size of lhs = 3:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2) | pppp1-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #10: input, references = 3, size of lhs = 1:
% 2.14/2.32 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #11: input, references = 3, size of lhs = 1:
% 2.14/2.32 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #12: input, references = 3, size of lhs = 3:
% 2.14/2.32 #-{F} V0, #-{F} V2, P_reverse_line-{F}(V1,V3) | pppp5-{T}(V0,V1,V2,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #13: input, references = 3, size of lhs = 3:
% 2.14/2.32 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V3), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #14: input, references = 3, size of lhs = 3:
% 2.14/2.32 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V3) | pppp2-{T}(V0,V1,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #15: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #16: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V0,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #17: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #18: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #19: input, references = 3, size of lhs = 1:
% 2.14/2.32 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #20: input, references = 3, size of lhs = 1:
% 2.14/2.32 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #21: input, references = 3, size of lhs = 3:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #22: input, references = 3, size of lhs = 3:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #23: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp6-{F}(V0,V1,V2,V3,V4), unequally_directed_lines-{F}(V1,V4) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #24: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V3) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #25: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V1) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #26: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V3) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #27: input, references = 3, size of lhs = 2:
% 2.14/2.32 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V1) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #28: input, references = 3, size of lhs = 1:
% 2.14/2.32 pppp6-{F}(V0,V1,V2,V3,V4) | distinct_points-{T}(V0,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #29: input, references = 3, size of lhs = 1:
% 2.14/2.32 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #30: input, references = 3, size of lhs = 1:
% 2.14/2.32 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #31: input, references = 3, size of lhs = 4:
% 2.14/2.32 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #32: input, references = 3, size of lhs = 3:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #33: input, references = 3, size of lhs = 3:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #34: input, references = 3, size of lhs = 2:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #35: input, references = 3, size of lhs = 2:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #36: input, references = 3, size of lhs = 2:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #37: input, references = 3, size of lhs = 2:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #38: input, references = 3, size of lhs = 1:
% 2.14/2.32 distinct_points-{F}(V0,V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #39: input, references = 3, size of lhs = 2:
% 2.14/2.32 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #40: input, references = 3, size of lhs = 1:
% 2.14/2.32 distinct_lines-{F}(V0,V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #41: input, references = 3, size of lhs = 2:
% 2.14/2.32 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #42: input, references = 3, size of lhs = 1:
% 2.14/2.32 unequally_directed_lines-{F}(V0,V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #43: input, references = 3, size of lhs = 2:
% 2.14/2.32 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #44: input, references = 3, size of lhs = 4:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #45: input, references = 3, size of lhs = 4:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #46: input, references = 3, size of lhs = 4:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #47: input, references = 3, size of lhs = 4:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #48: input, references = 3, size of lhs = 3:
% 2.14/2.32 P_reverse_line-{F}(V0,V1), line-{F}(V0), line-{F}(V2) | unequally_directed_lines-{T}(V2,V0), unequally_directed_lines-{T}(V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #49: input, references = 3, size of lhs = 3:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #50: input, references = 5, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #51: input, references = 4, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #52: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #53: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #54: input, references = 3, size of lhs = 4:
% 2.14/2.32 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #55: input, references = 3, size of lhs = 6:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #56: input, references = 3, size of lhs = 3:
% 2.14/2.32 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #57: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #58: input, references = 3, size of lhs = 3:
% 2.14/2.32 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #59: input, references = 3, size of lhs = 3:
% 2.14/2.32 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #60: input, references = 3, size of lhs = 5:
% 2.14/2.32 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
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #61: input, references = 3, size of lhs = 5:
% 2.14/2.32 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
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #62: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #63: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #64: input, references = 3, size of lhs = 4:
% 2.14/2.32 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
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #65: input, references = 3, size of lhs = 2:
% 2.14/2.32 P_parallel_through_point-{F}(V1,V0,V2), unequally_directed_lines-{F}(V2,V1) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #66: input, references = 3, size of lhs = 4:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #67: input, references = 3, size of lhs = 3:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #68: input, references = 3, size of lhs = 2:
% 2.14/2.32 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #69: input, references = 3, size of lhs = 3:
% 2.14/2.32 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)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #70: input, references = 3, size of lhs = 2:
% 2.14/2.32 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #71: input, references = 4, size of lhs = 0:
% 2.14/2.32 FALSE | EXISTS V0: pppp10-{T}(V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #72: input, references = 4, size of lhs = 1:
% 2.14/2.32 pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #73: input, references = 5, size of lhs = 1:
% 2.14/2.32 pppp9-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V2,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #74: input, references = 3, size of lhs = 5:
% 2.14/2.32 pppp8-{F}(V0,V1,V2), P_parallel_through_point-{F}(V1,V0,V3), P_parallel_through_point-{F}(V1,V2,V4), P_reverse_line-{F}(V4,V5), left_apart_point-{F}(V0,V5) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #75: input, references = 6, size of lhs = 4:
% 2.14/2.32 pppp8-{F}(V0,V1,V2), P_parallel_through_point-{F}(V1,V0,V3), P_parallel_through_point-{F}(V1,V2,V4), P_reverse_line-{F}(V4,V5) | left_apart_point-{T}(V2,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #76: input, references = 6, size of lhs = 1:
% 2.14/2.32 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #77: input, references = 3, size of lhs = 2:
% 2.14/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #78: input, references = 3, size of lhs = 2:
% 2.14/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #79: input, references = 6, size of lhs = 2:
% 2.14/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 number of initial rules = 80
% 2.14/2.32
% 2.14/2.32 Simplifiers:
% 2.14/2.32 #80: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #81: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #82: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #83: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #84: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #85: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #86: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V6,V2,V8,V9), V4 == V9 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #87: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #88: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V5), V2 == V5 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #89: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #90: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #91: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #92: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 number of simplifiers = 13
% 2.14/2.32
% 2.14/2.32 Learnt:
% 2.14/2.32 #99: exists( #76, #97 ), references = 1, size of lhs = 3:
% 2.14/2.32 pppp8-{F}(V0,V1,V2), P_parallel_through_point-{F}(V1,V2,V3), P_parallel_through_point-{F}(V1,V0,V3) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #101: exists( #79, #98 ), references = 1, size of lhs = 1:
% 2.14/2.32 pppp8-{F}(V0,V1,V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #103: exists( #73, #100 ), references = 1, size of lhs = 1:
% 2.14/2.32 pppp9-{F}(V0,V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #110: exists( #76, #106 ), references = 1, size of lhs = 4:
% 2.14/2.32 P_reverse_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), pppp8-{F}(V3,V2,V4), P_parallel_through_point-{F}(V2,V4,V5) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #111: exists( #76, #107 ), references = 1, size of lhs = 4:
% 2.14/2.32 P_reverse_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), pppp8-{F}(V3,V2,V4), P_parallel_through_point-{F}(V2,V4,V5) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #114: exists( #79, #108 ), references = 1, size of lhs = 3:
% 2.14/2.32 P_reverse_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), pppp8-{F}(V3,V2,V4) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #115: exists( #79, #109 ), references = 1, size of lhs = 3:
% 2.14/2.32 P_reverse_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), pppp8-{F}(V3,V2,V4) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #117: exists( #76, #112 ), references = 2, size of lhs = 2:
% 2.14/2.32 P_parallel_through_point-{F}(V0,V1,V2), pppp8-{F}(V1,V0,V3) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #119: exists( #79, #117 ), references = 1, size of lhs = 1:
% 2.14/2.32 pppp8-{F}(V0,V1,V2) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #121: exists( #73, #118 ), references = 1, size of lhs = 1:
% 2.14/2.32 pppp9-{F}(V0,V1) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #123: exists( #72, #120 ), references = 1, size of lhs = 1:
% 2.14/2.32 pppp10-{F}(V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #125: exists( #71, #122 ), references = 1, size of lhs = 0:
% 2.14/2.32 FALSE | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 number of learnt formulas = 12
% 2.14/2.32
% 2.14/2.32
% 2.14/2.32 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.32
% 2.14/2.32 randbase = 1
%------------------------------------------------------------------------------