%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO234+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 13.96s 14.16s
% Output : Refutation 13.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO234+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 : n004.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 17:36:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.96/14.16 GeoParameters:
% 13.96/14.16
% 13.96/14.16 tptp_input = 1
% 13.96/14.16 tptp_output = 0
% 13.96/14.16 nonempty = 1
% 13.96/14.16 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.96/14.16 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.96/14.16
% 13.96/14.16
% 13.96/14.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.96/14.16 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.96/14.16
% 13.96/14.16 RuleSystem INPUT:
% 13.96/14.16
% 13.96/14.16 Initial Rules:
% 13.96/14.16 #0: input, references = 12, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), unequally_directed_opposite_lines-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #1: input, references = 6, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V2) | unequally_directed_opposite_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #2: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), right_apart_point-{F}(V0,V1) | left_apart_point-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #3: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | right_apart_point-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #4: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), right_convergent_lines-{F}(V0,V1) | left_convergent_lines-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #5: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | right_convergent_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #6: input, references = 7, size of lhs = 2:
% 13.96/14.16 equally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #7: input, references = 8, size of lhs = 2:
% 13.96/14.16 #-{F} V0, #-{F} V1 | equally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #8: input, references = 8, size of lhs = 2:
% 13.96/14.16 equally_directed_opposite_lines-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #9: input, references = 8, size of lhs = 2:
% 13.96/14.16 #-{F} V0, #-{F} V1 | equally_directed_opposite_lines-{T}(V0,V1), unequally_directed_opposite_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #10: input, references = 3, size of lhs = 1:
% 13.96/14.16 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #11: input, references = 3, size of lhs = 1:
% 13.96/14.16 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #12: input, references = 3, size of lhs = 1:
% 13.96/14.16 pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), right_apart_point-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #13: input, references = 3, size of lhs = 1:
% 13.96/14.16 left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #14: input, references = 3, size of lhs = 1:
% 13.96/14.16 right_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #15: input, references = 3, size of lhs = 1:
% 13.96/14.16 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #16: input, references = 3, size of lhs = 1:
% 13.96/14.16 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #17: input, references = 3, size of lhs = 1:
% 13.96/14.16 pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #18: input, references = 3, size of lhs = 1:
% 13.96/14.16 pppp1-{F}(V0,V1) | unequally_directed_opposite_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #19: input, references = 3, size of lhs = 2:
% 13.96/14.16 unequally_directed_lines-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #20: input, references = 3, size of lhs = 1:
% 13.96/14.16 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #21: input, references = 3, size of lhs = 1:
% 13.96/14.16 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #22: input, references = 3, size of lhs = 3:
% 13.96/14.16 #-{F} V0, #-{F} V1, #-{F} V2 | pppp5-{T}(V0,V1,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #23: input, references = 3, size of lhs = 3:
% 13.96/14.16 pppp5-{F}(V0,V1,V2), right_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #24: input, references = 3, size of lhs = 3:
% 13.96/14.16 pppp5-{F}(V0,V1,V2), left_apart_point-{F}(V0,V1), right_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #25: input, references = 3, size of lhs = 2:
% 13.96/14.16 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | right_apart_point-{T}(V2,V1), left_apart_point-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #26: input, references = 3, size of lhs = 2:
% 13.96/14.16 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | right_apart_point-{T}(V2,V1), right_apart_point-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #27: input, references = 3, size of lhs = 2:
% 13.96/14.16 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #28: input, references = 3, size of lhs = 2:
% 13.96/14.16 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), right_apart_point-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #29: input, references = 3, size of lhs = 1:
% 13.96/14.16 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #30: input, references = 3, size of lhs = 1:
% 13.96/14.16 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #31: input, references = 3, size of lhs = 2:
% 13.96/14.16 #-{F} V1, P_line_connecting-{F}(V0,V2,V3) | pppp6-{T}(V0,V1,V2,V3)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #32: input, references = 3, size of lhs = 5:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #33: input, references = 3, size of lhs = 2:
% 13.96/14.16 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | equally_directed_lines-{T}(V1,V3)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #34: input, references = 3, size of lhs = 2:
% 13.96/14.16 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #35: input, references = 3, size of lhs = 2:
% 13.96/14.16 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | incident_point_and_line-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #36: input, references = 3, size of lhs = 2:
% 13.96/14.16 pppp6-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2) | distinct_points-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #37: input, references = 3, size of lhs = 1:
% 13.96/14.16 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #38: input, references = 3, size of lhs = 1:
% 13.96/14.16 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #39: input, references = 3, size of lhs = 4:
% 13.96/14.16 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #40: input, references = 3, size of lhs = 3:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #41: input, references = 3, size of lhs = 3:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #42: input, references = 3, size of lhs = 2:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #43: input, references = 3, size of lhs = 2:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #44: input, references = 3, size of lhs = 2:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #45: input, references = 3, size of lhs = 2:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #46: input, references = 3, size of lhs = 1:
% 13.96/14.16 distinct_points-{F}(V0,V0) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #47: input, references = 3, size of lhs = 2:
% 13.96/14.16 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #48: input, references = 3, size of lhs = 1:
% 13.96/14.16 distinct_lines-{F}(V0,V0) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #49: input, references = 3, size of lhs = 2:
% 13.96/14.16 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #50: input, references = 10, size of lhs = 1:
% 13.96/14.16 #-{F} V0 | equally_directed_lines-{T}(V0,V0)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #51: input, references = 4, size of lhs = 2:
% 13.96/14.16 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #52: input, references = 3, size of lhs = 4:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #53: input, references = 3, size of lhs = 4:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #54: input, references = 3, size of lhs = 4:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #55: input, references = 3, size of lhs = 4:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #56: input, references = 4, size of lhs = 2:
% 13.96/14.16 #-{F} V0, P_reverse_line-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #57: input, references = 4, size of lhs = 3:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #58: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #59: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #60: input, references = 4, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #61: input, references = 5, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #62: input, references = 3, size of lhs = 4:
% 13.96/14.16 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #63: input, references = 3, size of lhs = 6:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #64: input, references = 3, size of lhs = 3:
% 13.96/14.16 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #65: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #66: input, references = 3, size of lhs = 3:
% 13.96/14.16 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #67: input, references = 3, size of lhs = 3:
% 13.96/14.16 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #68: input, references = 3, size of lhs = 5:
% 13.96/14.16 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
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #69: input, references = 3, size of lhs = 5:
% 13.96/14.16 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
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #70: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #71: input, references = 3, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #72: input, references = 3, size of lhs = 4:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #73: input, references = 3, size of lhs = 1:
% 13.96/14.16 P_parallel_through_point-{F}(V1,V0,V2) | equally_directed_lines-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #74: input, references = 3, size of lhs = 4:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #75: input, references = 3, size of lhs = 3:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #76: input, references = 3, size of lhs = 2:
% 13.96/14.16 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #77: input, references = 3, size of lhs = 3:
% 13.96/14.16 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)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #78: input, references = 3, size of lhs = 2:
% 13.96/14.16 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #79: input, references = 4, size of lhs = 0:
% 13.96/14.16 FALSE | EXISTS V0: pppp10-{T}(V0)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #80: input, references = 5, size of lhs = 1:
% 13.96/14.16 pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #81: input, references = 4, size of lhs = 1:
% 13.96/14.16 pppp9-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V2,V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #82: input, references = 4, size of lhs = 2:
% 13.96/14.16 pppp9-{F}(V0,V1), unequally_directed_opposite_lines-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #83: input, references = 5, size of lhs = 2:
% 13.96/14.16 pppp8-{F}(V0,V1,V2), unequally_directed_lines-{F}(V0,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #84: input, references = 4, size of lhs = 1:
% 13.96/14.16 pppp8-{F}(V0,V1,V2) | unequally_directed_opposite_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #85: input, references = 10, size of lhs = 1:
% 13.96/14.16 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #86: input, references = 3, size of lhs = 2:
% 13.96/14.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #87: input, references = 3, size of lhs = 2:
% 13.96/14.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #88: input, references = 3, size of lhs = 2:
% 13.96/14.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 number of initial rules = 89
% 13.96/14.16
% 13.96/14.16 Simplifiers:
% 13.96/14.16 #89: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #90: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #91: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #92: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #93: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #94: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V2), V0 == V3 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #95: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V5), V2 == V5 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #96: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V1 == V4 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #97: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #98: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #99: unsound, references = 3, size of lhs = 3:
% 13.96/14.16 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 number of simplifiers = 11
% 13.96/14.16
% 13.96/14.16 Learnt:
% 13.96/14.16 #102: disj( #7, #1+#8 ), references = 7, size of lhs = 2:
% 13.96/14.16 equally_directed_opposite_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | equally_directed_lines-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #104: disj( #9, input ), references = 3, size of lhs = 1:
% 13.96/14.16 pppp9-{F}(V0,V1) | equally_directed_opposite_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #107: disj( #9, #0+#6 ), references = 1, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | equally_directed_opposite_lines-{T}(V2,V0)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #109: disj( #56, input ), references = 4, size of lhs = 2:
% 13.96/14.16 equally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #122: disj( #51, input ), references = 6, size of lhs = 2:
% 13.96/14.16 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #127: exists( #81, #125 ), references = 1, size of lhs = 3:
% 13.96/14.16 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), equally_directed_lines-{F}(V2,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #131: disj( #7, #109+#6 ), references = 4, size of lhs = 2:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | unequally_directed_lines-{T}(V2,V0)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #135: disj( #7, exists( #81, #125 ) ), references = 7, size of lhs = 2:
% 13.96/14.16 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2) | unequally_directed_lines-{T}(V2,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #141: disj( #9, #102+#122+#6 ), references = 8, size of lhs = 3:
% 13.96/14.16 unequally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V2) | unequally_directed_opposite_lines-{T}(V1,V3)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #155: mergings( V1 == V3; #153 ), references = 3, size of lhs = 3:
% 13.96/14.16 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V1,V2) | left_convergent_lines-{T}(V0,V2)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #169: mergings( V0 == V4; #166 ), references = 2, size of lhs = 3:
% 13.96/14.16 pppp9-{F}(V0,V1), equally_directed_lines-{F}(V1,V2), P_reverse_line-{F}(V2,V0) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #178: exists( #85, #174 ), references = 2, size of lhs = 2:
% 13.96/14.16 equally_directed_lines-{F}(V0,V1), equally_directed_opposite_lines-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #179: exists( #85, #175 ), references = 2, size of lhs = 2:
% 13.96/14.16 equally_directed_lines-{F}(V0,V1), pppp9-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #192: disj( #9, #0+#155+#61 ), references = 9, size of lhs = 4:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), unequally_directed_lines-{F}(V4,V3) | equally_directed_opposite_lines-{T}(V4,V0)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #211: disj( #9, exists( #85, #174 ) ), references = 1, size of lhs = 1:
% 13.96/14.16 equally_directed_lines-{F}(V0,V1) | unequally_directed_opposite_lines-{T}(V0,V1)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #234: exists( #85, #232 ), references = 1, size of lhs = 2:
% 13.96/14.16 equally_directed_opposite_lines-{F}(V0,V1), pppp8-{F}(V0,V2,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #244: exists( #85, #242 ), references = 4, size of lhs = 4:
% 13.96/14.16 equally_directed_opposite_lines-{F}(V0,V1), equally_directed_lines-{F}(V0,V2), equally_directed_opposite_lines-{F}(V1,V3), P_reverse_line-{F}(V3,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #263: disj( #7, #122+#6 ), references = 4, size of lhs = 2:
% 13.96/14.16 equally_directed_lines-{F}(V0,V1), equally_directed_lines-{F}(V2,V1) | equally_directed_lines-{T}(V2,V0)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #264: disj( #7, #141+#8 ), references = 2, size of lhs = 3:
% 13.96/14.16 equally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V2,V1), equally_directed_opposite_lines-{F}(V3,V2) | equally_directed_lines-{T}(V0,V3)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #266: mergings( V3 == V5; #262 ), references = 2, size of lhs = 5:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), equally_directed_lines-{F}(V3,V1), equally_directed_opposite_lines-{F}(V3,V4), P_reverse_line-{F}(V5,V1) | equally_directed_lines-{T}(V4,V5)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #271: mergings( V2 == V0; #269 ), references = 1, size of lhs = 5:
% 13.96/14.16 pppp10-{F}(V0), equally_directed_lines-{F}(V0,V0), P_reverse_line-{F}(V1,V0), P_reverse_line-{F}(V2,V0), P_reverse_line-{F}(V3,V0) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #280: disj( #7, #263+#122+#155+#61 ), references = 4, size of lhs = 5:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), unequally_directed_lines-{F}(V2,V1), unequally_directed_lines-{F}(V2,V3), equally_directed_lines-{F}(V3,V4), P_reverse_line-{F}(V5,V1) | unequally_directed_lines-{T}(V0,V4)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #281: disj( #7, #263+#122+#192+#8 ), references = 1, size of lhs = 6:
% 13.96/14.16 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V2,V1), P_reverse_line-{F}(V3,V1), unequally_directed_opposite_lines-{F}(V4,V3), unequally_directed_lines-{F}(V4,V5), equally_directed_lines-{F}(V5,V6) | unequally_directed_lines-{T}(V0,V6)
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #307: mergings( V5 == V7; #303 ), references = 1, size of lhs = 7:
% 13.96/14.16 pppp9-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), equally_directed_lines-{F}(V2,V3), equally_directed_opposite_lines-{F}(V0,V4), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V4), P_reverse_line-{F}(V6,V4) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #310: mergings( V5 == V7, V2 == V7; #304 ), references = 1, size of lhs = 6:
% 13.96/14.16 pppp9-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), equally_directed_lines-{F}(V2,V3), P_reverse_line-{F}(V3,V1), P_reverse_line-{F}(V4,V1), P_reverse_line-{F}(V5,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #312: mergings( V5 == V8; #305 ), references = 2, size of lhs = 9:
% 13.96/14.16 pppp9-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), equally_directed_lines-{F}(V2,V3), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V4), P_reverse_line-{F}(V6,V4), equally_directed_opposite_lines-{F}(V0,V7), equally_directed_opposite_lines-{F}(V7,V8), P_reverse_line-{F}(V8,V4) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #333: exists( #85, #330 ), references = 2, size of lhs = 4:
% 13.96/14.16 equally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), equally_directed_opposite_lines-{F}(V0,V3), unequally_directed_lines-{F}(V3,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #334: exists( #85, #326 ), references = 2, size of lhs = 5:
% 13.96/14.16 equally_directed_opposite_lines-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), pppp9-{F}(V0,V3), unequally_directed_lines-{F}(V3,V4), equally_directed_lines-{F}(V4,V2) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #355: mergings( V0 == V3; #352 ), references = 1, size of lhs = 2:
% 13.96/14.16 equally_directed_opposite_lines-{F}(V0,V1), pppp9-{F}(V0,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #356: exists( #85, #350 ), references = 1, size of lhs = 4:
% 13.96/14.16 equally_directed_opposite_lines-{F}(V0,V1), equally_directed_lines-{F}(V0,V2), unequally_directed_opposite_lines-{F}(V2,V3), pppp9-{F}(V3,V1) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #361: exists( #80, #357 ), references = 1, size of lhs = 1:
% 13.96/14.16 pppp10-{F}(V0) | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 #366: exists( #79, #359 ), references = 1, size of lhs = 0:
% 13.96/14.16 FALSE | FALSE
% 13.96/14.16 (used 0 times, uses = {})
% 13.96/14.16
% 13.96/14.16 number of learnt formulas = 32
% 13.96/14.16
% 13.96/14.16
% 13.96/14.16 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.96/14.16
% 13.96/14.16 randbase = 1
%------------------------------------------------------------------------------