TSTP Solution File: GEO077-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO077-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:01:38 EDT 2022
% Result : Unsatisfiable 0.36s 0.54s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO077-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:09:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.36/0.54 GeoParameters:
% 0.36/0.54
% 0.36/0.54 tptp_input = 1
% 0.36/0.54 tptp_output = 0
% 0.36/0.54 nonempty = 1
% 0.36/0.54 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.54 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.36/0.54
% 0.36/0.54
% 0.36/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.54
% 0.36/0.54 RuleSystem INPUT:
% 0.36/0.54
% 0.36/0.54 Initial Rules:
% 0.36/0.54 #0: input, references = 4, size of lhs = 4:
% 0.36/0.54 point-{F}(V0), P_line_from_to-{F}(V1,V0,V2), point-{F}(V1), V1 == V0 | on-{T}(V1,V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #1: input, references = 4, size of lhs = 4:
% 0.36/0.54 point-{F}(V0), P_line_from_to-{F}(V1,V0,V2), point-{F}(V1), V1 == V0 | on-{T}(V0,V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #2: input, references = 4, size of lhs = 4:
% 0.36/0.54 point-{F}(V0), P_line_from_to-{F}(V1,V0,V2), point-{F}(V1), V1 == V0 | line-{T}(V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #3: input, references = 5, size of lhs = 10:
% 0.36/0.54 line-{F}(V0), line-{F}(V1), on-{F}(V2,V1), on-{F}(V2,V0), point-{F}(V2), on-{F}(V3,V1), on-{F}(V3,V0), point-{F}(V3), V1 == V0, V3 == V2 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #4: input, references = 3, size of lhs = 2:
% 0.36/0.54 P_point_1_on_line-{F}(V0,V1), line-{F}(V0) | on-{T}(V1,V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #5: input, references = 3, size of lhs = 2:
% 0.36/0.54 P_point_2_on_line-{F}(V0,V1), line-{F}(V0) | on-{T}(V1,V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #6: input, references = 3, size of lhs = 2:
% 0.36/0.54 P_point_1_on_line-{F}(V0,V1), line-{F}(V0) | point-{T}(V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #7: input, references = 3, size of lhs = 2:
% 0.36/0.54 P_point_2_on_line-{F}(V0,V1), line-{F}(V0) | point-{T}(V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #8: input, references = 3, size of lhs = 3:
% 0.36/0.54 P_point_1_on_line-{F}(V0,V2), P_point_2_on_line-{F}(V0,V2), line-{F}(V0) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #9: input, references = 3, size of lhs = 3:
% 0.36/0.54 P_point_not_on_line-{F}(V0,V1), on-{F}(V1,V0), line-{F}(V0) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #10: input, references = 3, size of lhs = 2:
% 0.36/0.54 P_point_not_on_line-{F}(V0,V1), line-{F}(V0) | point-{T}(V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #11: input, references = 3, size of lhs = 1:
% 0.36/0.54 P_at_least_one_line-{F}(V0) | line-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #12: input, references = 3, size of lhs = 3:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point_on_plane-{F}(V1,V2), plane-{F}(V1) | on-{T}(V2,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #13: input, references = 3, size of lhs = 3:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point_on_plane-{F}(V1,V2), plane-{F}(V1) | point-{T}(V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #14: input, references = 3, size of lhs = 4:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point_not_on_plane-{F}(V1,V2), plane-{F}(V1), on-{F}(V2,V1) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #15: input, references = 3, size of lhs = 3:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point_not_on_plane-{F}(V1,V2), plane-{F}(V1) | point-{T}(V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #16: input, references = 3, size of lhs = 8:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), P_plane_for_points-{F}(V3,V2,V1,V4), point-{F}(V3), V2 == V1, V3 == V2, V3 == V1 | on-{T}(V3,V4), collinear-{T}(V3,V2,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #17: input, references = 3, size of lhs = 8:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), P_plane_for_points-{F}(V3,V2,V1,V4), point-{F}(V3), V2 == V1, V3 == V2, V3 == V1 | on-{T}(V2,V4), collinear-{T}(V3,V2,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #18: input, references = 3, size of lhs = 8:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), P_plane_for_points-{F}(V3,V2,V1,V4), point-{F}(V3), V2 == V1, V3 == V2, V3 == V1 | on-{T}(V1,V4), collinear-{T}(V3,V2,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #19: input, references = 3, size of lhs = 8:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), P_plane_for_points-{F}(V3,V2,V1,V4), point-{F}(V3), V2 == V1, V3 == V2, V3 == V1 | plane-{T}(V4), collinear-{T}(V3,V2,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #20: input, references = 3, size of lhs = 16:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), point-{F}(V3), on-{F}(V3,V4), on-{F}(V2,V4), on-{F}(V1,V4), plane-{F}(V4), on-{F}(V3,V5), on-{F}(V2,V5), on-{F}(V1,V5), plane-{F}(V5), V2 == V1, V3 == V2, V3 == V1, V5 == V4 | collinear-{T}(V3,V2,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #21: input, references = 3, size of lhs = 10:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), on-{F}(V2,V3), on-{F}(V1,V3), line-{F}(V3), on-{F}(V2,V4), on-{F}(V1,V4), plane-{F}(V4), V2 == V1 | on-{T}(V3,V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #22: input, references = 3, size of lhs = 8:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), plane-{F}(V2), on-{F}(V1,V2), P_common_point_on_planes-{F}(V3,V2,V1,V4), plane-{F}(V3), on-{F}(V1,V3), V3 == V2 | on-{T}(V4,V3)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #23: input, references = 3, size of lhs = 8:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), plane-{F}(V2), on-{F}(V1,V2), P_common_point_on_planes-{F}(V3,V2,V1,V4), plane-{F}(V3), on-{F}(V1,V3), V3 == V2 | on-{T}(V4,V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #24: input, references = 3, size of lhs = 8:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), plane-{F}(V2), on-{F}(V1,V2), P_common_point_on_planes-{F}(V3,V2,V1,V4), plane-{F}(V3), on-{F}(V1,V3), V3 == V2 | point-{T}(V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #25: input, references = 3, size of lhs = 8:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V4), plane-{F}(V2), on-{F}(V4,V2), P_common_point_on_planes-{F}(V3,V2,V4,V4), plane-{F}(V3), on-{F}(V4,V3), V3 == V2 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #26: input, references = 4, size of lhs = 9:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), P_line_through_3_points-{F}(V3,V2,V1,V4), point-{F}(V3), collinear-{F}(V3,V2,V1), V2 == V1, V3 == V2, V3 == V1 | on-{T}(V3,V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #27: input, references = 4, size of lhs = 9:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), P_line_through_3_points-{F}(V3,V2,V1,V4), point-{F}(V3), collinear-{F}(V3,V2,V1), V2 == V1, V3 == V2, V3 == V1 | on-{T}(V2,V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #28: input, references = 4, size of lhs = 9:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), P_line_through_3_points-{F}(V3,V2,V1,V4), point-{F}(V3), collinear-{F}(V3,V2,V1), V2 == V1, V3 == V2, V3 == V1 | on-{T}(V1,V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #29: input, references = 4, size of lhs = 9:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), P_line_through_3_points-{F}(V3,V2,V1,V4), point-{F}(V3), collinear-{F}(V3,V2,V1), V2 == V1, V3 == V2, V3 == V1 | line-{T}(V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #30: input, references = 3, size of lhs = 11:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), point-{F}(V2), point-{F}(V3), on-{F}(V3,V4), on-{F}(V2,V4), on-{F}(V1,V4), line-{F}(V4), V2 == V1, V3 == V2, V3 == V1 | collinear-{T}(V3,V2,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #31: input, references = 4, size of lhs = 2:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1) | point-{T}(V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #32: input, references = 4, size of lhs = 3:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V2) | point-{T}(V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #33: input, references = 4, size of lhs = 4:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V2), P_point3-{F}(V3) | point-{T}(V3)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #34: input, references = 4, size of lhs = 5:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V2), P_point3-{F}(V3), P_a_line-{F}(V4) | line-{T}(V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #35: input, references = 4, size of lhs = 5:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V2), P_point3-{F}(V3), P_a_line-{F}(V4) | on-{T}(V1,V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #36: input, references = 4, size of lhs = 5:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V2), P_point3-{F}(V3), P_a_line-{F}(V4) | on-{T}(V2,V4)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #37: input, references = 4, size of lhs = 6:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V2), P_point3-{F}(V3), P_a_line-{F}(V4), on-{F}(V3,V4) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #38: input, references = 4, size of lhs = 5:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V2), P_point2-{F}(V2), P_point3-{F}(V3), P_a_line-{F}(V4) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #39: input, references = 4, size of lhs = 5:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V3), P_point2-{F}(V2), P_point3-{F}(V3), P_a_line-{F}(V4) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #40: input, references = 4, size of lhs = 5:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V3), P_point3-{F}(V3), P_a_line-{F}(V4) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #41: input, references = 4, size of lhs = 5:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V2), P_point3-{F}(V3), P_a_line-{F}(V4) | collinear-{T}(V1,V2,V3)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #42: input, references = 4, size of lhs = 2:
% 0.36/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_from_to-{T}(V0,V1,V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #43: input, references = 3, size of lhs = 1:
% 0.36/0.54 #-{F} V0 | EXISTS V1: P_point_1_on_line-{T}(V0,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #44: input, references = 3, size of lhs = 1:
% 0.36/0.54 #-{F} V0 | EXISTS V1: P_point_2_on_line-{T}(V0,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #45: input, references = 3, size of lhs = 1:
% 0.36/0.54 #-{F} V0 | EXISTS V1: P_point_not_on_line-{T}(V0,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #46: input, references = 4, size of lhs = 0:
% 0.36/0.54 FALSE | EXISTS V0: P_at_least_one_line-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #47: input, references = 3, size of lhs = 1:
% 0.36/0.54 #-{F} V0 | EXISTS V1: P_point_on_plane-{T}(V0,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #48: input, references = 3, size of lhs = 1:
% 0.36/0.54 #-{F} V0 | EXISTS V1: P_point_not_on_plane-{T}(V0,V1)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #49: input, references = 3, size of lhs = 3:
% 0.36/0.54 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_plane_for_points-{T}(V0,V1,V2,V3)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #50: input, references = 3, size of lhs = 3:
% 0.36/0.54 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_common_point_on_planes-{T}(V0,V1,V2,V3)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #51: input, references = 4, size of lhs = 3:
% 0.36/0.54 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_line_through_3_points-{T}(V0,V1,V2,V3)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #52: input, references = 4, size of lhs = 0:
% 0.36/0.54 FALSE | EXISTS V0: P_point1-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #53: input, references = 4, size of lhs = 0:
% 0.36/0.54 FALSE | EXISTS V0: P_point2-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #54: input, references = 5, size of lhs = 0:
% 0.36/0.54 FALSE | EXISTS V0: P_point3-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #55: input, references = 7, size of lhs = 0:
% 0.36/0.54 FALSE | EXISTS V0: P_a_line-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 number of initial rules = 56
% 0.36/0.54
% 0.36/0.54 Simplifiers:
% 0.36/0.54 #56: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_line_from_to-{F}(V0,V1,V2), P_line_from_to-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #57: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_point_1_on_line-{F}(V0,V1), P_point_1_on_line-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #58: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_point_2_on_line-{F}(V0,V1), P_point_2_on_line-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #59: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_point_not_on_line-{F}(V0,V1), P_point_not_on_line-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #60: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_at_least_one_line-{F}(V1), V0 == V1 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #61: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_point_on_plane-{F}(V0,V1), P_point_on_plane-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #62: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_point_not_on_plane-{F}(V0,V1), P_point_not_on_plane-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #63: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_plane_for_points-{F}(V0,V1,V2,V3), P_plane_for_points-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #64: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_common_point_on_planes-{F}(V0,V1,V2,V3), P_common_point_on_planes-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #65: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_line_through_3_points-{F}(V0,V1,V2,V3), P_line_through_3_points-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #66: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_point1-{F}(V0), P_point1-{F}(V1), V0 == V1 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #67: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_point2-{F}(V0), P_point2-{F}(V1), V0 == V1 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #68: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_point3-{F}(V0), P_point3-{F}(V1), V0 == V1 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #69: unsound, references = 3, size of lhs = 3:
% 0.36/0.54 P_a_line-{F}(V0), P_a_line-{F}(V1), V0 == V1 | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 number of simplifiers = 14
% 0.36/0.54
% 0.36/0.54 Learnt:
% 0.36/0.54 #71: exists( #55, #40 ), references = 1, size of lhs = 4:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V2), P_point3-{F}(V2) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #73: exists( #55, #39 ), references = 2, size of lhs = 4:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point3-{F}(V1), P_point2-{F}(V2) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #80: exists( #42, #77 ), references = 1, size of lhs = 6:
% 0.36/0.54 line-{F}(V0), point-{F}(V1), on-{F}(V1,V0), point-{F}(V2), V2 == V1, on-{F}(V2,V0) | P_line_from_to-{T}(V1,V2,V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #91: mergings( V4 == V5, V5 == V6; #88 ), references = 1, size of lhs = 11:
% 0.36/0.54 P_at_least_one_line-{F}(V0), point-{F}(V1), line-{F}(V2), point-{F}(V3), V3 == V1, on-{F}(V3,V2), point-{F}(V4), V4 == V1, V4 == V3, collinear-{F}(V4,V3,V1), on-{F}(V4,V2) | P_line_through_3_points-{T}(V4,V3,V1,V2)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #116: mergings( V1 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19, V2 == V9, V9 == V12, V12 == V20, V3 == V6, V6 == V13, V13 == V21, V4 == V7, V7 == V10, V10 == V18; #98 ), references = 1, size of lhs = 10:
% 0.36/0.54 point-{F}(V0), P_point1-{F}(V0), point-{F}(V1), V0 == V1, P_point2-{F}(V1), point-{F}(V2), V1 == V2, V0 == V2, P_point3-{F}(V2), P_at_least_one_line-{F}(V3) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #136: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V2 == V5, V5 == V10, V10 == V12, V12 == V19, V3 == V6, V6 == V8, V8 == V13, V13 == V20; #118 ), references = 1, size of lhs = 6:
% 0.36/0.54 point-{F}(V0), P_point1-{F}(V0), point-{F}(V1), V0 == V1, P_point2-{F}(V1), P_at_least_one_line-{F}(V2) | P_point3-{T}(V1), P_point3-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #157: mergings( V0 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V20, V1 == V4, V4 == V9, V9 == V11, V11 == V18, V18 == V21, V2 == V5, V5 == V7, V7 == V12, V12 == V19; #137 ), references = 1, size of lhs = 6:
% 0.36/0.54 point-{F}(V0), P_point1-{F}(V0), point-{F}(V1), V0 == V1, P_point2-{F}(V1), P_at_least_one_line-{F}(V2) | P_point3-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #179: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V20, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V17, V17 == V19; #160 ), references = 1, size of lhs = 3:
% 0.36/0.54 point-{F}(V0), P_point1-{F}(V0), P_at_least_one_line-{F}(V1) | P_point2-{T}(V0)
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #181: exists( #55, #38 ), references = 1, size of lhs = 4:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V1), P_point3-{F}(V2) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #183: exists( #54, #180 ), references = 1, size of lhs = 3:
% 0.36/0.54 P_at_least_one_line-{F}(V0), P_point1-{F}(V1), P_point2-{F}(V1) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #201: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #186 ), references = 1, size of lhs = 1:
% 0.36/0.54 P_at_least_one_line-{F}(V0) | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 #203: exists( #46, #186 ), references = 1, size of lhs = 0:
% 0.36/0.54 FALSE | FALSE
% 0.36/0.54 (used 0 times, uses = {})
% 0.36/0.54
% 0.36/0.54 number of learnt formulas = 12
% 0.36/0.54
% 0.36/0.54
% 0.36/0.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.54
% 0.36/0.54 randbase = 1
%------------------------------------------------------------------------------