TSTP Solution File: GEO076-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO076-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO076-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 18:07:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 GeoParameters:
% 0.18/0.47
% 0.18/0.47 tptp_input = 1
% 0.18/0.47 tptp_output = 0
% 0.18/0.47 nonempty = 1
% 0.18/0.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 RuleSystem INPUT:
% 0.18/0.47
% 0.18/0.47 Initial Rules:
% 0.18/0.47 #0: input, references = 5, size of lhs = 4:
% 0.18/0.47 point-{F}(V0), P_line_from_to-{F}(V1,V0,V2), point-{F}(V1), V1 == V0 | on-{T}(V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #1: input, references = 5, size of lhs = 4:
% 0.18/0.47 point-{F}(V0), P_line_from_to-{F}(V1,V0,V2), point-{F}(V1), V1 == V0 | on-{T}(V0,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #2: input, references = 5, size of lhs = 4:
% 0.18/0.47 point-{F}(V0), P_line_from_to-{F}(V1,V0,V2), point-{F}(V1), V1 == V0 | line-{T}(V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #3: input, references = 5, size of lhs = 10:
% 0.18/0.47 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
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #4: input, references = 4, size of lhs = 2:
% 0.18/0.47 P_point_1_on_line-{F}(V0,V1), line-{F}(V0) | on-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #5: input, references = 4, size of lhs = 2:
% 0.18/0.47 P_point_2_on_line-{F}(V0,V1), line-{F}(V0) | on-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #6: input, references = 4, size of lhs = 2:
% 0.18/0.47 P_point_1_on_line-{F}(V0,V1), line-{F}(V0) | point-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #7: input, references = 4, size of lhs = 2:
% 0.18/0.47 P_point_2_on_line-{F}(V0,V1), line-{F}(V0) | point-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #8: input, references = 4, size of lhs = 3:
% 0.18/0.47 P_point_1_on_line-{F}(V0,V2), P_point_2_on_line-{F}(V0,V2), line-{F}(V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #9: input, references = 6, size of lhs = 3:
% 0.18/0.47 P_point_not_on_line-{F}(V0,V1), on-{F}(V1,V0), line-{F}(V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #10: input, references = 4, size of lhs = 2:
% 0.18/0.47 P_point_not_on_line-{F}(V0,V1), line-{F}(V0) | point-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #11: input, references = 4, size of lhs = 1:
% 0.18/0.47 P_at_least_one_line-{F}(V0) | line-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #12: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_at_least_one_line-{F}(V0), P_point_on_plane-{F}(V1,V2), plane-{F}(V1) | on-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #13: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_at_least_one_line-{F}(V0), P_point_on_plane-{F}(V1,V2), plane-{F}(V1) | point-{T}(V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #14: input, references = 3, size of lhs = 4:
% 0.18/0.47 P_at_least_one_line-{F}(V0), P_point_not_on_plane-{F}(V1,V2), plane-{F}(V1), on-{F}(V2,V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #15: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_at_least_one_line-{F}(V0), P_point_not_on_plane-{F}(V1,V2), plane-{F}(V1) | point-{T}(V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #16: input, references = 3, size of lhs = 8:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #17: input, references = 3, size of lhs = 8:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #18: input, references = 3, size of lhs = 8:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #19: input, references = 3, size of lhs = 8:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #20: input, references = 3, size of lhs = 16:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #21: input, references = 3, size of lhs = 10:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #22: input, references = 3, size of lhs = 8:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #23: input, references = 3, size of lhs = 8:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #24: input, references = 3, size of lhs = 8:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #25: input, references = 3, size of lhs = 8:
% 0.18/0.47 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
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #26: input, references = 3, size of lhs = 9:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #27: input, references = 3, size of lhs = 9:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #28: input, references = 3, size of lhs = 9:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #29: input, references = 3, size of lhs = 9:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #30: input, references = 3, size of lhs = 11:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #31: input, references = 4, size of lhs = 2:
% 0.18/0.48 P_at_least_one_line-{F}(V0), P_a_point-{F}(V1) | point-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #32: input, references = 5, size of lhs = 3:
% 0.18/0.48 P_at_least_one_line-{F}(V0), P_a_point-{F}(V1), line-{F}(V2) | on-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #33: input, references = 5, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_from_to-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #34: input, references = 4, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_point_1_on_line-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #35: input, references = 4, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_point_2_on_line-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #36: input, references = 4, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_point_not_on_line-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #37: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_at_least_one_line-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #38: input, references = 3, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_point_on_plane-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #39: input, references = 3, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_point_not_on_plane-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #40: input, references = 3, size of lhs = 3:
% 0.18/0.48 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_plane_for_points-{T}(V0,V1,V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #41: input, references = 3, size of lhs = 3:
% 0.18/0.48 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_common_point_on_planes-{T}(V0,V1,V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #42: input, references = 3, size of lhs = 3:
% 0.18/0.48 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_line_through_3_points-{T}(V0,V1,V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #43: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_a_point-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 44
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_line_from_to-{F}(V0,V1,V2), P_line_from_to-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_point_1_on_line-{F}(V0,V1), P_point_1_on_line-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_point_2_on_line-{F}(V0,V1), P_point_2_on_line-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_point_not_on_line-{F}(V0,V1), P_point_not_on_line-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_at_least_one_line-{F}(V0), P_at_least_one_line-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_point_on_plane-{F}(V0,V1), P_point_on_plane-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_point_not_on_plane-{F}(V0,V1), P_point_not_on_plane-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_plane_for_points-{F}(V0,V1,V2,V3), P_plane_for_points-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_common_point_on_planes-{F}(V0,V1,V2,V3), P_common_point_on_planes-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #53: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_line_through_3_points-{F}(V0,V1,V2,V3), P_line_through_3_points-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_a_point-{F}(V0), P_a_point-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 11
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #65: exists( #33, #63 ), references = 1, size of lhs = 6:
% 0.18/0.48 line-{F}(V0), point-{F}(V1), on-{F}(V1,V0), point-{F}(V2), V2 == V1, on-{F}(V2,V0) | P_line_from_to-{T}(V2,V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #76: exists( #33, #74 ), references = 1, size of lhs = 10:
% 0.18/0.48 point-{F}(V0), P_at_least_one_line-{F}(V1), P_a_point-{F}(V2), point-{F}(V2), line-{F}(V3), on-{F}(V2,V3), point-{F}(V4), V0 == V4, V4 == V2, on-{F}(V4,V3) | P_line_from_to-{T}(V0,V4,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #81: exists( #36, #79 ), references = 2, size of lhs = 8:
% 0.18/0.48 P_at_least_one_line-{F}(V0), P_a_point-{F}(V1), point-{F}(V1), on-{F}(V1,V2), line-{F}(V2), point-{F}(V3), V3 == V1, on-{F}(V3,V2) | P_point_not_on_line-{T}(V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #86: exists( #35, #84 ), references = 1, size of lhs = 5:
% 0.18/0.48 P_at_least_one_line-{F}(V0), P_a_point-{F}(V1), point-{F}(V1), on-{F}(V1,V2), line-{F}(V2) | P_point_2_on_line-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #91: exists( #34, #89 ), references = 1, size of lhs = 5:
% 0.18/0.48 P_at_least_one_line-{F}(V0), P_a_point-{F}(V1), point-{F}(V1), on-{F}(V1,V2), line-{F}(V2) | P_point_1_on_line-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #100: mergings( V1 == V2, V2 == V3, V3 == V4; #96 ), references = 1, size of lhs = 2:
% 0.18/0.48 P_at_least_one_line-{F}(V0), line-{F}(V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #103: exists( #37, #101 ), references = 1, size of lhs = 0:
% 0.18/0.48 FALSE | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of learnt formulas = 7
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 randbase = 1
%------------------------------------------------------------------------------