TSTP Solution File: GEO237+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO237+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:02:14 EDT 2022
% Result : Theorem 2.20s 2.38s
% Output : Refutation 2.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO237+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 18:26:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.20/2.38 GeoParameters:
% 2.20/2.38
% 2.20/2.38 tptp_input = 1
% 2.20/2.38 tptp_output = 0
% 2.20/2.38 nonempty = 1
% 2.20/2.38 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.20/2.38 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.20/2.38
% 2.20/2.38
% 2.20/2.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.20/2.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.20/2.38
% 2.20/2.38 RuleSystem INPUT:
% 2.20/2.38
% 2.20/2.38 Initial Rules:
% 2.20/2.38 #0: input, references = 4, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), unequally_directed_opposite_lines-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #1: input, references = 4, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V2) | unequally_directed_opposite_lines-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #2: input, references = 4, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), right_apart_point-{F}(V0,V1) | left_apart_point-{T}(V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #3: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | right_apart_point-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #4: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), right_convergent_lines-{F}(V0,V1) | left_convergent_lines-{T}(V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #5: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | right_convergent_lines-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #6: input, references = 6, size of lhs = 2:
% 2.20/2.38 equally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V1) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #7: input, references = 6, size of lhs = 2:
% 2.20/2.38 #-{F} V0, #-{F} V1 | equally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #8: input, references = 4, size of lhs = 2:
% 2.20/2.38 equally_directed_opposite_lines-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #9: input, references = 4, size of lhs = 2:
% 2.20/2.38 #-{F} V0, #-{F} V1 | equally_directed_opposite_lines-{T}(V0,V1), unequally_directed_opposite_lines-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #10: input, references = 4, size of lhs = 1:
% 2.20/2.38 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #11: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #12: input, references = 4, size of lhs = 1:
% 2.20/2.38 pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), right_apart_point-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #13: input, references = 3, size of lhs = 1:
% 2.20/2.38 left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #14: input, references = 3, size of lhs = 1:
% 2.20/2.38 right_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #15: input, references = 3, size of lhs = 1:
% 2.20/2.38 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #16: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #17: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #18: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp1-{F}(V0,V1) | unequally_directed_opposite_lines-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #19: input, references = 3, size of lhs = 2:
% 2.20/2.38 unequally_directed_lines-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #20: input, references = 3, size of lhs = 1:
% 2.20/2.38 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #21: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #22: input, references = 3, size of lhs = 3:
% 2.20/2.38 #-{F} V0, #-{F} V1, #-{F} V2 | pppp5-{T}(V0,V1,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #23: input, references = 3, size of lhs = 3:
% 2.20/2.38 pppp5-{F}(V0,V1,V2), right_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #24: input, references = 3, size of lhs = 3:
% 2.20/2.38 pppp5-{F}(V0,V1,V2), left_apart_point-{F}(V0,V1), right_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #25: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | right_apart_point-{T}(V2,V1), left_apart_point-{T}(V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #26: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | right_apart_point-{T}(V2,V1), right_apart_point-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #27: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #28: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), right_apart_point-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #29: input, references = 3, size of lhs = 1:
% 2.20/2.38 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #30: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #31: input, references = 3, size of lhs = 2:
% 2.20/2.38 #-{F} V1, P_line_connecting-{F}(V0,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #32: input, references = 3, size of lhs = 5:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #33: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | equally_directed_lines-{T}(V1,V3)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #34: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #35: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | incident_point_and_line-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #36: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | distinct_points-{T}(V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #37: input, references = 3, size of lhs = 1:
% 2.20/2.38 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #38: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #39: input, references = 3, size of lhs = 4:
% 2.20/2.38 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #40: input, references = 3, size of lhs = 3:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #41: input, references = 3, size of lhs = 3:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #42: input, references = 3, size of lhs = 2:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #43: input, references = 3, size of lhs = 2:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #44: input, references = 3, size of lhs = 2:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #45: input, references = 3, size of lhs = 2:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #46: input, references = 3, size of lhs = 1:
% 2.20/2.38 distinct_points-{F}(V0,V0) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #47: input, references = 3, size of lhs = 2:
% 2.20/2.38 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #48: input, references = 3, size of lhs = 1:
% 2.20/2.38 distinct_lines-{F}(V0,V0) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #49: input, references = 3, size of lhs = 2:
% 2.20/2.38 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #50: input, references = 3, size of lhs = 1:
% 2.20/2.38 #-{F} V0 | equally_directed_lines-{T}(V0,V0)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #51: input, references = 4, size of lhs = 2:
% 2.20/2.38 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #52: input, references = 3, size of lhs = 4:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #53: input, references = 3, size of lhs = 4:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #54: input, references = 3, size of lhs = 4:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #55: input, references = 3, size of lhs = 4:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #56: input, references = 4, size of lhs = 2:
% 2.20/2.38 #-{F} V0, P_reverse_line-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #57: input, references = 3, size of lhs = 3:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #58: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #59: input, references = 4, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #60: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #61: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #62: input, references = 3, size of lhs = 4:
% 2.20/2.38 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #63: input, references = 3, size of lhs = 6:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #64: input, references = 3, size of lhs = 3:
% 2.20/2.38 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #65: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #66: input, references = 3, size of lhs = 3:
% 2.20/2.38 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #67: input, references = 3, size of lhs = 3:
% 2.20/2.38 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #68: input, references = 3, size of lhs = 5:
% 2.20/2.38 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
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #69: input, references = 3, size of lhs = 5:
% 2.20/2.38 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
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #70: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #71: input, references = 3, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #72: input, references = 3, size of lhs = 4:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #73: input, references = 3, size of lhs = 1:
% 2.20/2.38 P_parallel_through_point-{F}(V1,V0,V2) | equally_directed_lines-{T}(V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #74: input, references = 3, size of lhs = 4:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #75: input, references = 3, size of lhs = 3:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #76: input, references = 3, size of lhs = 2:
% 2.20/2.38 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #77: input, references = 3, size of lhs = 3:
% 2.20/2.38 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)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #78: input, references = 3, size of lhs = 2:
% 2.20/2.38 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #79: input, references = 4, size of lhs = 0:
% 2.20/2.38 FALSE | EXISTS V0: pppp11-{T}(V0)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #80: input, references = 4, size of lhs = 1:
% 2.20/2.38 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #81: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #82: input, references = 4, size of lhs = 1:
% 2.20/2.38 pppp10-{F}(V0,V1) | apart_point_and_line-{T}(V1,V0)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #83: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V3,V0,V1,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #84: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp9-{F}(V0,V1,V2), divides_points-{F}(V0,V1,V2) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #85: input, references = 3, size of lhs = 2:
% 2.20/2.38 pppp8-{F}(V0,V1,V2,V3), divides_points-{F}(V1,V0,V3) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #86: input, references = 3, size of lhs = 1:
% 2.20/2.38 pppp8-{F}(V0,V1,V2,V3) | divides_points-{T}(V1,V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #87: input, references = 4, size of lhs = 1:
% 2.20/2.38 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #88: input, references = 3, size of lhs = 2:
% 2.20/2.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #89: input, references = 3, size of lhs = 2:
% 2.20/2.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #90: input, references = 3, size of lhs = 2:
% 2.20/2.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 number of initial rules = 91
% 2.20/2.38
% 2.20/2.38 Simplifiers:
% 2.20/2.38 #91: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #92: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #93: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #94: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #95: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #96: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #97: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V1,V6,V3), V2 == V6 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #98: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V3), V1 == V5 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #99: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #100: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #101: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V2), V0 == V3 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #102: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #103: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #104: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V1 == V3 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #105: unsound, references = 3, size of lhs = 3:
% 2.20/2.38 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 number of simplifiers = 15
% 2.20/2.38
% 2.20/2.38 Learnt:
% 2.20/2.38 #108: disj( #7, #1+#8 ), references = 1, size of lhs = 2:
% 2.20/2.38 equally_directed_opposite_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | equally_directed_lines-{T}(V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #111: disj( #9, #0+#6 ), references = 1, size of lhs = 2:
% 2.20/2.38 P_reverse_line-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | equally_directed_opposite_lines-{T}(V2,V0)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #113: disj( #56, input ), references = 1, size of lhs = 2:
% 2.20/2.38 equally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #127: disj( #51, input ), references = 2, size of lhs = 2:
% 2.20/2.38 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #128: disj( #51, input ), references = 1, size of lhs = 5:
% 2.20/2.38 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_intersection_point-{F}(V1,V3,V4), apart_point_and_line-{F}(V4,V1) | unequally_directed_lines-{T}(V0,V3)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #131: disj( #7, #125+#6 ), references = 1, size of lhs = 5:
% 2.20/2.38 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V2), equally_directed_lines-{F}(V0,V2), #-{F} V3, #-{F} V4 | unequally_directed_lines-{T}(V3,V4)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #134: disj( #7, #127+#6 ), references = 1, size of lhs = 2:
% 2.20/2.38 equally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | equally_directed_lines-{T}(V2,V0)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #139: disj( #12, input ), references = 1, size of lhs = 2:
% 2.20/2.38 pppp0-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | right_apart_point-{T}(V0,V1)
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #145: exists( #87, #142 ), references = 1, size of lhs = 1:
% 2.20/2.38 pppp0-{F}(V0,V1) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #149: exists( #80, #147 ), references = 1, size of lhs = 1:
% 2.20/2.38 pppp11-{F}(V0) | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 #151: exists( #79, #148 ), references = 1, size of lhs = 0:
% 2.20/2.38 FALSE | FALSE
% 2.20/2.38 (used 0 times, uses = {})
% 2.20/2.38
% 2.20/2.38 number of learnt formulas = 11
% 2.20/2.38
% 2.20/2.38
% 2.20/2.38 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.20/2.38
% 2.20/2.38 randbase = 1
%------------------------------------------------------------------------------