TSTP Solution File: GEO258+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO258+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 64.01s 64.22s
% Output : Refutation 64.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO258+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 : n003.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 18:13:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 64.01/64.22 GeoParameters:
% 64.01/64.22
% 64.01/64.22 tptp_input = 1
% 64.01/64.22 tptp_output = 0
% 64.01/64.22 nonempty = 1
% 64.01/64.22 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.01/64.22 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 64.01/64.22
% 64.01/64.22
% 64.01/64.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.01/64.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.01/64.22
% 64.01/64.22 RuleSystem INPUT:
% 64.01/64.22
% 64.01/64.22 Initial Rules:
% 64.01/64.22 #0: input, references = 4, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), unequally_directed_opposite_lines-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #1: input, references = 4, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V2) | unequally_directed_opposite_lines-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #2: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), right_apart_point-{F}(V0,V1) | left_apart_point-{T}(V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #3: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | right_apart_point-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #4: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), right_convergent_lines-{F}(V0,V1) | left_convergent_lines-{T}(V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #5: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | right_convergent_lines-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #6: input, references = 16, size of lhs = 2:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V1) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #7: input, references = 11, size of lhs = 2:
% 64.01/64.22 #-{F} V0, #-{F} V1 | equally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #8: input, references = 4, size of lhs = 2:
% 64.01/64.22 equally_directed_opposite_lines-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #9: input, references = 4, size of lhs = 2:
% 64.01/64.22 #-{F} V0, #-{F} V1 | equally_directed_opposite_lines-{T}(V0,V1), unequally_directed_opposite_lines-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #10: input, references = 3, size of lhs = 1:
% 64.01/64.22 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #11: input, references = 3, size of lhs = 1:
% 64.01/64.22 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #12: input, references = 3, size of lhs = 1:
% 64.01/64.22 pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), right_apart_point-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #13: input, references = 3, size of lhs = 1:
% 64.01/64.22 left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #14: input, references = 3, size of lhs = 1:
% 64.01/64.22 right_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #15: input, references = 3, size of lhs = 1:
% 64.01/64.22 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #16: input, references = 3, size of lhs = 1:
% 64.01/64.22 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #17: input, references = 3, size of lhs = 1:
% 64.01/64.22 pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #18: input, references = 3, size of lhs = 1:
% 64.01/64.22 pppp1-{F}(V0,V1) | unequally_directed_opposite_lines-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #19: input, references = 3, size of lhs = 2:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #20: input, references = 3, size of lhs = 1:
% 64.01/64.22 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #21: input, references = 3, size of lhs = 1:
% 64.01/64.22 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #22: input, references = 3, size of lhs = 3:
% 64.01/64.22 #-{F} V0, #-{F} V1, #-{F} V2 | pppp5-{T}(V0,V1,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #23: input, references = 3, size of lhs = 3:
% 64.01/64.22 pppp5-{F}(V0,V1,V2), right_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #24: input, references = 3, size of lhs = 3:
% 64.01/64.22 pppp5-{F}(V0,V1,V2), left_apart_point-{F}(V0,V1), right_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #25: input, references = 3, size of lhs = 2:
% 64.01/64.22 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | right_apart_point-{T}(V2,V1), left_apart_point-{T}(V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #26: input, references = 3, size of lhs = 2:
% 64.01/64.22 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | right_apart_point-{T}(V2,V1), right_apart_point-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #27: input, references = 3, size of lhs = 2:
% 64.01/64.22 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #28: input, references = 3, size of lhs = 2:
% 64.01/64.22 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), right_apart_point-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #29: input, references = 13, size of lhs = 1:
% 64.01/64.22 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #30: input, references = 3, size of lhs = 1:
% 64.01/64.22 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #31: input, references = 5, size of lhs = 2:
% 64.01/64.22 #-{F} V1, P_line_connecting-{F}(V0,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #32: input, references = 3, size of lhs = 5:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #33: input, references = 8, size of lhs = 2:
% 64.01/64.22 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | equally_directed_lines-{T}(V1,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #34: input, references = 3, size of lhs = 2:
% 64.01/64.22 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #35: input, references = 3, size of lhs = 2:
% 64.01/64.22 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | incident_point_and_line-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #36: input, references = 8, size of lhs = 2:
% 64.01/64.22 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | distinct_points-{T}(V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #37: input, references = 6, size of lhs = 1:
% 64.01/64.22 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #38: input, references = 8, size of lhs = 1:
% 64.01/64.22 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #39: input, references = 9, size of lhs = 4:
% 64.01/64.22 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #40: input, references = 4, size of lhs = 3:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #41: input, references = 7, size of lhs = 3:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #42: input, references = 7, size of lhs = 2:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #43: input, references = 5, size of lhs = 2:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #44: input, references = 4, size of lhs = 2:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #45: input, references = 4, size of lhs = 2:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #46: input, references = 3, size of lhs = 1:
% 64.01/64.22 distinct_points-{F}(V0,V0) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #47: input, references = 3, size of lhs = 2:
% 64.01/64.22 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #48: input, references = 3, size of lhs = 1:
% 64.01/64.22 distinct_lines-{F}(V0,V0) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #49: input, references = 3, size of lhs = 2:
% 64.01/64.22 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #50: input, references = 7, size of lhs = 1:
% 64.01/64.22 #-{F} V0 | equally_directed_lines-{T}(V0,V0)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #51: input, references = 4, size of lhs = 2:
% 64.01/64.22 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #52: input, references = 3, size of lhs = 4:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #53: input, references = 3, size of lhs = 4:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #54: input, references = 3, size of lhs = 4:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #55: input, references = 3, size of lhs = 4:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #56: input, references = 4, size of lhs = 2:
% 64.01/64.22 #-{F} V0, P_reverse_line-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #57: input, references = 3, size of lhs = 3:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #58: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #59: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #60: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #61: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #62: input, references = 3, size of lhs = 4:
% 64.01/64.22 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #63: input, references = 3, size of lhs = 6:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #64: input, references = 3, size of lhs = 3:
% 64.01/64.22 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #65: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #66: input, references = 3, size of lhs = 3:
% 64.01/64.22 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #67: input, references = 3, size of lhs = 3:
% 64.01/64.22 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #68: input, references = 3, size of lhs = 5:
% 64.01/64.22 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
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #69: input, references = 3, size of lhs = 5:
% 64.01/64.22 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
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #70: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #71: input, references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #72: input, references = 8, size of lhs = 4:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #73: input, references = 3, size of lhs = 1:
% 64.01/64.22 P_parallel_through_point-{F}(V1,V0,V2) | equally_directed_lines-{T}(V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #74: input, references = 3, size of lhs = 4:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #75: input, references = 3, size of lhs = 3:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #76: input, references = 3, size of lhs = 2:
% 64.01/64.22 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #77: input, references = 3, size of lhs = 3:
% 64.01/64.22 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)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #78: input, references = 3, size of lhs = 2:
% 64.01/64.22 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #79: input, references = 4, size of lhs = 0:
% 64.01/64.22 FALSE | EXISTS V0: pppp11-{T}(V0)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #80: input, references = 4, size of lhs = 1:
% 64.01/64.22 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #81: input, references = 4, size of lhs = 1:
% 64.01/64.22 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V1,V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #82: input, references = 6, size of lhs = 1:
% 64.01/64.22 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V1,V2,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #83: input, references = 8, size of lhs = 2:
% 64.01/64.22 pppp8-{F}(V0,V1,V2,V3), between_on_line-{F}(V1,V3,V2,V0) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #84: input, references = 6, size of lhs = 1:
% 64.01/64.22 pppp8-{F}(V0,V1,V2,V3) | between_on_line-{T}(V1,V0,V2,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #85: input, references = 8, size of lhs = 1:
% 64.01/64.22 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #86: input, references = 5, size of lhs = 2:
% 64.01/64.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #87: input, references = 3, size of lhs = 2:
% 64.01/64.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #88: input, references = 3, size of lhs = 2:
% 64.01/64.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 number of initial rules = 89
% 64.01/64.22
% 64.01/64.22 Simplifiers:
% 64.01/64.22 #89: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 before_on_line-{F}(V0,V1,V2), before_on_line-{F}(V3,V4,V5), V0 == V3 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #90: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 incident_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V3), V1 == V3 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #91: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 between_on_line-{F}(V0,V1,V2,V3), between_on_line-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #92: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #93: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #94: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #95: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #96: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #97: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #98: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #99: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #100: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #101: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V1,V6,V7), V0 == V4 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #102: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #103: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #104: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V1,V5), V0 == V3 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #105: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V1 == V4 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #106: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #107: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #108: unsound, references = 3, size of lhs = 3:
% 64.01/64.22 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 number of simplifiers = 20
% 64.01/64.22
% 64.01/64.22 Learnt:
% 64.01/64.22 #111: disj( #7, #1+#8 ), references = 1, size of lhs = 2:
% 64.01/64.22 equally_directed_opposite_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | equally_directed_lines-{T}(V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #114: disj( #9, #0+#6 ), references = 1, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | equally_directed_opposite_lines-{T}(V2,V0)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #116: disj( #56, input ), references = 6, size of lhs = 2:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #134: disj( #51, input ), references = 4, size of lhs = 2:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #137: disj( #7, #133+#6 ), references = 4, size of lhs = 2:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | equally_directed_lines-{T}(V2,V0)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #148: disj( #42, #29+#36+#72+#6 ), references = 3, size of lhs = 7:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), unequally_directed_lines-{F}(V2,V1), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V0), pppp7-{F}(V5,V6,V3,V4), pppp4-{F}(V5,V6,V3,V4), pppp6-{F}(V3,V6,V4,V7) | before_on_line-{T}(V6,V3,V5)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #162: disj( #42, #29+#36+#72+#6 ), references = 1, size of lhs = 7:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), unequally_directed_lines-{F}(V2,V1), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V0), pppp7-{F}(V4,V5,V3,V6), pppp4-{F}(V4,V5,V3,V6), pppp6-{F}(V3,V5,V4,V7) | before_on_line-{T}(V5,V3,V6)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #172: disj( #44, #40+#38+#83 ), references = 3, size of lhs = 5:
% 64.01/64.22 before_on_line-{F}(V0,V1,V2), pppp7-{F}(V2,V0,V1,V3), pppp8-{F}(V3,V0,V1,V2), pppp7-{F}(V3,V0,V1,V4), pppp4-{F}(V3,V0,V1,V4) | before_on_line-{T}(V0,V1,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #173: disj( #44, #29+#36+#72+#6 ), references = 1, size of lhs = 7:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), unequally_directed_lines-{F}(V2,V1), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V0), pppp7-{F}(V3,V5,V4,V6), pppp4-{F}(V3,V5,V4,V6), pppp6-{F}(V3,V5,V4,V7) | before_on_line-{T}(V5,V4,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #188: mergings( V6 == V7, V4 == V9, V5 == V8, V10 == V11; #183 ), references = 2, size of lhs = 6:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_line_connecting-{F}(V3,V4,V0), P_line_connecting-{F}(V4,V3,V2), pppp9-{F}(V4,V5,V3), pppp6-{F}(V3,V5,V4,V6) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #204: disj( #42, #172+#29+#33+#6 ), references = 1, size of lhs = 8:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), pppp6-{F}(V2,V0,V3,V1), pppp8-{F}(V3,V0,V2,V4), pppp7-{F}(V4,V0,V2,V3), pppp7-{F}(V5,V0,V2,V4), pppp4-{F}(V5,V0,V2,V4), pppp7-{F}(V3,V0,V2,V6), pppp4-{F}(V3,V0,V2,V6) | before_on_line-{T}(V0,V2,V5)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #214: mergings( V5 == V4; #212 ), references = 2, size of lhs = 3:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), pppp9-{F}(V2,V0,V3), pppp6-{F}(V3,V0,V2,V1) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #236: disj( #7, mergings( V6 == V7, V4 == V9, V5 == V8, V10 == V11; #183 ) ), references = 3, size of lhs = 5:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V4), pppp9-{F}(V2,V5,V3), pppp6-{F}(V3,V5,V2,V6) | equally_directed_lines-{T}(V4,V1)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #242: exists( #86, #240 ), references = 2, size of lhs = 5:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V2), P_reverse_line-{F}(V3,V2), pppp9-{F}(V4,V0,V5), P_line_connecting-{F}(V4,V5,V3) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #256: disj( #43, #29+#33+#6 ), references = 1, size of lhs = 4:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), pppp6-{F}(V2,V0,V3,V1), pppp7-{F}(V4,V0,V2,V3), pppp4-{F}(V4,V0,V2,V3) | before_on_line-{T}(V0,V3,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #272: disj( #43, #29+#36+#72+#6 ), references = 4, size of lhs = 7:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), unequally_directed_lines-{F}(V2,V1), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V0), pppp7-{F}(V5,V6,V3,V4), pppp4-{F}(V5,V6,V3,V4), pppp6-{F}(V3,V6,V4,V7) | before_on_line-{T}(V6,V4,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #281: disj( #7, #116+#6 ), references = 3, size of lhs = 2:
% 64.01/64.22 P_reverse_line-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | unequally_directed_lines-{T}(V2,V0)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #286: disj( #45, #29+#33+#6 ), references = 1, size of lhs = 4:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), pppp6-{F}(V2,V0,V3,V1), pppp7-{F}(V2,V0,V3,V4), pppp4-{F}(V2,V0,V3,V4) | before_on_line-{T}(V0,V4,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #290: disj( #7, #134+#6 ), references = 4, size of lhs = 2:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V0,V2) | unequally_directed_lines-{T}(V1,V2)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #296: disj( #42, #41+#38+#83 ), references = 1, size of lhs = 5:
% 64.01/64.22 before_on_line-{F}(V0,V1,V2), pppp7-{F}(V1,V0,V2,V3), pppp8-{F}(V3,V0,V2,V1), pppp7-{F}(V3,V0,V2,V4), pppp4-{F}(V3,V0,V2,V4) | before_on_line-{T}(V0,V2,V4)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #307: exists( #82, #305 ), references = 4, size of lhs = 3:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), pppp9-{F}(V2,V0,V3), pppp6-{F}(V2,V0,V3,V1) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #314: exists( #85, #311 ), references = 1, size of lhs = 5:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V1), pppp9-{F}(V3,V4,V2), pppp6-{F}(V2,V4,V3,V5) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #344: mergings( V5 == V4, V2 == V7, V3 == V8; #340 ), references = 1, size of lhs = 5:
% 64.01/64.22 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3), pppp9-{F}(V0,V3,V1), pppp6-{F}(V0,V3,V1,V2), pppp6-{F}(V1,V3,V0,V4) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #362: disj( #7, exists( #86, #240 ) ), references = 1, size of lhs = 4:
% 64.01/64.22 unequally_directed_lines-{F}(V0,V1), pppp9-{F}(V2,V0,V3), P_line_connecting-{F}(V2,V3,V4), P_reverse_line-{F}(V4,V5) | unequally_directed_lines-{T}(V1,V5)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #374: mergings( V2 == V8, V4 == V6, V5 == V7; #370 ), references = 1, size of lhs = 6:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), pppp9-{F}(V2,V0,V3), P_line_connecting-{F}(V3,V2,V1), pppp6-{F}(V2,V0,V3,V4), P_line_connecting-{F}(V2,V3,V4), pppp6-{F}(V3,V0,V2,V5) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #386: exists( #85, #384 ), references = 3, size of lhs = 3:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), pppp9-{F}(V2,V0,V3), P_line_connecting-{F}(V2,V3,V1) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #406: exists( #85, #403 ), references = 1, size of lhs = 9:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V1), pppp7-{F}(V4,V5,V2,V3), pppp4-{F}(V4,V5,V2,V3), pppp6-{F}(V2,V5,V3,V6), pppp6-{F}(V3,V5,V2,V7), pppp9-{F}(V8,V5,V9), P_line_connecting-{F}(V8,V9,V7) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #407: exists( #85, #402 ), references = 1, size of lhs = 13:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V1), P_line_connecting-{F}(V2,V4,V0), P_line_connecting-{F}(V4,V2,V1), pppp6-{F}(V2,V5,V3,V6), pppp7-{F}(V7,V5,V2,V4), pppp4-{F}(V7,V5,V2,V4), pppp6-{F}(V2,V5,V4,V8), pppp7-{F}(V4,V5,V2,V9), pppp7-{F}(V9,V5,V2,V3), pppp4-{F}(V9,V5,V2,V3), pppp8-{F}(V9,V5,V2,V4) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #419: disj( #7, #290+#148+#272+#41+#38+#83 ), references = 1, size of lhs = 15:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), P_line_connecting-{F}(V4,V5,V2), P_line_connecting-{F}(V5,V4,V6), P_line_connecting-{F}(V5,V7,V6), P_line_connecting-{F}(V7,V5,V3), pppp6-{F}(V5,V8,V4,V9), pppp7-{F}(V10,V8,V5,V7), pppp4-{F}(V10,V8,V5,V7), pppp6-{F}(V5,V8,V7,V11), pppp7-{F}(V7,V8,V5,V12), pppp7-{F}(V12,V8,V5,V4), pppp4-{F}(V12,V8,V5,V4), pppp8-{F}(V12,V8,V5,V7) | equally_directed_lines-{T}(V0,V6)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #429: disj( #7, #290+#134+#290+#307 ), references = 2, size of lhs = 5:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V2), equally_directed_lines-{F}(V3,V4), pppp9-{F}(V5,V2,V6), pppp6-{F}(V5,V2,V6,V4) | equally_directed_lines-{T}(V0,V3)
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #435: mergings( V5 == V3; #433 ), references = 1, size of lhs = 3:
% 64.01/64.22 equally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V0), pppp9-{F}(V2,V0,V3) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #437: exists( #81, #433 ), references = 1, size of lhs = 3:
% 64.01/64.22 pppp10-{F}(V0,V1), equally_directed_lines-{F}(V0,V2), equally_directed_lines-{F}(V2,V0) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #439: exists( #80, #436 ), references = 1, size of lhs = 3:
% 64.01/64.22 pppp11-{F}(V0), equally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V0) | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 #442: exists( #79, #440 ), references = 1, size of lhs = 0:
% 64.01/64.22 FALSE | FALSE
% 64.01/64.22 (used 0 times, uses = {})
% 64.01/64.22
% 64.01/64.22 number of learnt formulas = 34
% 64.01/64.22
% 64.01/64.22
% 64.01/64.22 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.01/64.22
% 64.01/64.22 randbase = 1
%------------------------------------------------------------------------------