TSTP Solution File: GEO243+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO243+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:02:16 EDT 2022
% Result : Theorem 2.24s 2.46s
% Output : Refutation 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO243+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 18:44:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.24/2.46 GeoParameters:
% 2.24/2.46
% 2.24/2.46 tptp_input = 1
% 2.24/2.46 tptp_output = 0
% 2.24/2.46 nonempty = 1
% 2.24/2.46 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/2.46 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.24/2.46
% 2.24/2.46
% 2.24/2.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/2.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/2.46
% 2.24/2.46 RuleSystem INPUT:
% 2.24/2.46
% 2.24/2.46 Initial Rules:
% 2.24/2.46 #0: input, references = 4, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), unequally_directed_opposite_lines-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #1: input, references = 4, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V2) | unequally_directed_opposite_lines-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #2: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), right_apart_point-{F}(V0,V1) | left_apart_point-{T}(V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #3: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | right_apart_point-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #4: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), right_convergent_lines-{F}(V0,V1) | left_convergent_lines-{T}(V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #5: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | right_convergent_lines-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #6: input, references = 5, size of lhs = 2:
% 2.24/2.46 equally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V1) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #7: input, references = 5, size of lhs = 2:
% 2.24/2.46 #-{F} V0, #-{F} V1 | equally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #8: input, references = 4, size of lhs = 2:
% 2.24/2.46 equally_directed_opposite_lines-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #9: input, references = 4, size of lhs = 2:
% 2.24/2.46 #-{F} V0, #-{F} V1 | equally_directed_opposite_lines-{T}(V0,V1), unequally_directed_opposite_lines-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #10: input, references = 3, size of lhs = 1:
% 2.24/2.46 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #11: input, references = 3, size of lhs = 1:
% 2.24/2.46 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #12: input, references = 3, size of lhs = 1:
% 2.24/2.46 pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), right_apart_point-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #13: input, references = 3, size of lhs = 1:
% 2.24/2.46 left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #14: input, references = 3, size of lhs = 1:
% 2.24/2.46 right_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #15: input, references = 3, size of lhs = 1:
% 2.24/2.46 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #16: input, references = 3, size of lhs = 1:
% 2.24/2.46 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #17: input, references = 3, size of lhs = 1:
% 2.24/2.46 pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #18: input, references = 3, size of lhs = 1:
% 2.24/2.46 pppp1-{F}(V0,V1) | unequally_directed_opposite_lines-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #19: input, references = 3, size of lhs = 2:
% 2.24/2.46 unequally_directed_lines-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #20: input, references = 3, size of lhs = 1:
% 2.24/2.46 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #21: input, references = 3, size of lhs = 1:
% 2.24/2.46 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #22: input, references = 3, size of lhs = 3:
% 2.24/2.46 #-{F} V0, #-{F} V1, #-{F} V2 | pppp5-{T}(V0,V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #23: input, references = 3, size of lhs = 3:
% 2.24/2.46 pppp5-{F}(V0,V1,V2), right_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #24: input, references = 3, size of lhs = 3:
% 2.24/2.46 pppp5-{F}(V0,V1,V2), left_apart_point-{F}(V0,V1), right_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #25: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | right_apart_point-{T}(V2,V1), left_apart_point-{T}(V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #26: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | right_apart_point-{T}(V2,V1), right_apart_point-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #27: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #28: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), right_apart_point-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #29: input, references = 3, size of lhs = 1:
% 2.24/2.46 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #30: input, references = 3, size of lhs = 1:
% 2.24/2.46 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #31: input, references = 3, size of lhs = 2:
% 2.24/2.46 #-{F} V1, P_line_connecting-{F}(V0,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #32: input, references = 3, size of lhs = 5:
% 2.24/2.46 pppp6-{F}(V0,V1,V2,V3), distinct_points-{F}(V0,V2), incident_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1), equally_directed_lines-{F}(V1,V3) | pppp3-{T}(V0,V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #33: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | equally_directed_lines-{T}(V1,V3)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #34: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #35: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | incident_point_and_line-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #36: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | distinct_points-{T}(V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #37: input, references = 3, size of lhs = 1:
% 2.24/2.46 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #38: input, references = 3, size of lhs = 1:
% 2.24/2.46 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #39: input, references = 3, size of lhs = 4:
% 2.24/2.46 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #40: input, references = 3, size of lhs = 3:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #41: input, references = 3, size of lhs = 3:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #42: input, references = 3, size of lhs = 2:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #43: input, references = 3, size of lhs = 2:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #44: input, references = 3, size of lhs = 2:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #45: input, references = 3, size of lhs = 2:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #46: input, references = 4, size of lhs = 1:
% 2.24/2.46 distinct_points-{F}(V0,V0) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #47: input, references = 4, size of lhs = 2:
% 2.24/2.46 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #48: input, references = 3, size of lhs = 1:
% 2.24/2.46 distinct_lines-{F}(V0,V0) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #49: input, references = 3, size of lhs = 2:
% 2.24/2.46 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #50: input, references = 3, size of lhs = 1:
% 2.24/2.46 #-{F} V0 | equally_directed_lines-{T}(V0,V0)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #51: input, references = 4, size of lhs = 2:
% 2.24/2.46 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #52: input, references = 3, size of lhs = 4:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #53: input, references = 3, size of lhs = 4:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #54: input, references = 3, size of lhs = 4:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #55: input, references = 3, size of lhs = 4:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #56: input, references = 4, size of lhs = 2:
% 2.24/2.46 #-{F} V0, P_reverse_line-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #57: input, references = 3, size of lhs = 3:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #58: input, references = 4, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #59: input, references = 4, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #60: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #61: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #62: input, references = 3, size of lhs = 4:
% 2.24/2.46 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #63: input, references = 3, size of lhs = 6:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #64: input, references = 3, size of lhs = 3:
% 2.24/2.46 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #65: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #66: input, references = 3, size of lhs = 3:
% 2.24/2.46 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #67: input, references = 3, size of lhs = 3:
% 2.24/2.46 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #68: input, references = 3, size of lhs = 5:
% 2.24/2.46 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
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #69: input, references = 3, size of lhs = 5:
% 2.24/2.46 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
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #70: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #71: input, references = 3, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #72: input, references = 3, size of lhs = 4:
% 2.24/2.46 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3), P_reverse_line-{F}(V3,V4), distinct_points-{F}(V0,V1) | equally_directed_lines-{T}(V2,V4)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #73: input, references = 3, size of lhs = 1:
% 2.24/2.46 P_parallel_through_point-{F}(V1,V0,V2) | equally_directed_lines-{T}(V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #74: input, references = 3, size of lhs = 4:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #75: input, references = 3, size of lhs = 3:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #76: input, references = 3, size of lhs = 2:
% 2.24/2.46 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #77: input, references = 3, size of lhs = 3:
% 2.24/2.46 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)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #78: input, references = 3, size of lhs = 2:
% 2.24/2.46 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #79: input, references = 4, size of lhs = 0:
% 2.24/2.46 FALSE | EXISTS V0: pppp10-{T}(V0)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #80: input, references = 4, size of lhs = 1:
% 2.24/2.46 pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #81: input, references = 4, size of lhs = 3:
% 2.24/2.46 pppp9-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3) | EXISTS V4: pppp8-{T}(V4,V2,V3)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #82: input, references = 4, size of lhs = 3:
% 2.24/2.46 pppp9-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3) | distinct_points-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #83: input, references = 3, size of lhs = 2:
% 2.24/2.46 pppp8-{F}(V0,V1,V2), right_apart_point-{F}(V0,V2) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #84: input, references = 5, size of lhs = 1:
% 2.24/2.46 pppp8-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #85: input, references = 4, size of lhs = 1:
% 2.24/2.46 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #86: input, references = 6, size of lhs = 2:
% 2.24/2.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #87: input, references = 3, size of lhs = 2:
% 2.24/2.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #88: input, references = 3, size of lhs = 2:
% 2.24/2.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 number of initial rules = 89
% 2.24/2.46
% 2.24/2.46 Simplifiers:
% 2.24/2.46 #89: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #90: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #91: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #92: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #93: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #94: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #95: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #96: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #97: unsound, references = 3, size of lhs = 3:
% 2.24/2.46 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 number of simplifiers = 9
% 2.24/2.46
% 2.24/2.46 Learnt:
% 2.24/2.46 #100: disj( #7, #1+#8 ), references = 1, size of lhs = 2:
% 2.24/2.46 equally_directed_opposite_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | equally_directed_lines-{T}(V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #103: disj( #9, #0+#6 ), references = 1, size of lhs = 2:
% 2.24/2.46 P_reverse_line-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | equally_directed_opposite_lines-{T}(V2,V0)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #107: disj( #56, input ), references = 1, size of lhs = 2:
% 2.24/2.46 equally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #112: exists( #86, #110 ), references = 1, size of lhs = 1:
% 2.24/2.46 pppp9-{F}(V0,V0) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #120: disj( #47, input ), references = 1, size of lhs = 1:
% 2.24/2.46 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #124: disj( #51, input ), references = 1, size of lhs = 2:
% 2.24/2.46 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #127: disj( #7, #123+#6 ), references = 1, size of lhs = 2:
% 2.24/2.46 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V0,V2) | unequally_directed_lines-{T}(V1,V2)
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #132: exists( #81, #128 ), references = 1, size of lhs = 4:
% 2.24/2.46 pppp9-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3), P_reverse_line-{F}(V4,V2) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #133: exists( #81, #129 ), references = 2, size of lhs = 4:
% 2.24/2.46 pppp9-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3), P_reverse_line-{F}(V2,V4) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #135: exists( #85, #133 ), references = 1, size of lhs = 3:
% 2.24/2.46 pppp9-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #137: exists( #86, #134 ), references = 1, size of lhs = 2:
% 2.24/2.46 pppp9-{F}(V0,V1), P_line_connecting-{F}(V1,V0,V2) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #139: exists( #86, #136 ), references = 1, size of lhs = 1:
% 2.24/2.46 pppp9-{F}(V0,V1) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #141: exists( #80, #138 ), references = 1, size of lhs = 1:
% 2.24/2.46 pppp10-{F}(V0) | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 #143: exists( #79, #140 ), references = 1, size of lhs = 0:
% 2.24/2.46 FALSE | FALSE
% 2.24/2.46 (used 0 times, uses = {})
% 2.24/2.46
% 2.24/2.46 number of learnt formulas = 14
% 2.24/2.46
% 2.24/2.46
% 2.24/2.46 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/2.46
% 2.24/2.46 randbase = 1
%------------------------------------------------------------------------------