TSTP Solution File: GEO214+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO214+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:02:07 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO214+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 17:42:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 GeoParameters:
% 0.19/0.45
% 0.19/0.45 tptp_input = 1
% 0.19/0.45 tptp_output = 0
% 0.19/0.45 nonempty = 1
% 0.19/0.45 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45
% 0.19/0.45 RuleSystem INPUT:
% 0.19/0.45
% 0.19/0.45 Initial Rules:
% 0.19/0.45 #0: input, references = 3, size of lhs = 1:
% 0.19/0.45 distinct_points-{F}(V0,V0) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #1: input, references = 3, size of lhs = 1:
% 0.19/0.45 distinct_lines-{F}(V0,V0) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #2: input, references = 4, size of lhs = 1:
% 0.19/0.45 convergent_lines-{F}(V0,V0) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #3: input, references = 3, size of lhs = 2:
% 0.19/0.45 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #4: input, references = 4, size of lhs = 2:
% 0.19/0.45 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #5: input, references = 4, size of lhs = 2:
% 0.19/0.45 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #6: input, references = 3, size of lhs = 3:
% 0.19/0.45 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #7: input, references = 3, size of lhs = 3:
% 0.19/0.45 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #8: input, references = 3, size of lhs = 3:
% 0.19/0.45 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #9: input, references = 3, size of lhs = 3:
% 0.19/0.45 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #10: input, references = 3, size of lhs = 2:
% 0.19/0.45 distinct_lines-{F}(V0,V1), distinct_points-{F}(V3,V2) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V3,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #11: input, references = 3, size of lhs = 2:
% 0.19/0.45 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #12: input, references = 3, size of lhs = 2:
% 0.19/0.45 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #13: input, references = 3, size of lhs = 1:
% 0.19/0.45 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #14: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #15: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #16: input, references = 4, size of lhs = 2:
% 0.19/0.45 distinct_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #17: input, references = 6, size of lhs = 2:
% 0.19/0.45 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #18: input, references = 3, size of lhs = 3:
% 0.19/0.45 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #19: input, references = 4, size of lhs = 3:
% 0.19/0.45 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #20: input, references = 3, size of lhs = 3:
% 0.19/0.45 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #21: input, references = 3, size of lhs = 3:
% 0.19/0.45 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #22: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #23: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #24: input, references = 3, size of lhs = 3:
% 0.19/0.45 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), unorthogonal_lines-{T}(V0,V3), unorthogonal_lines-{T}(V1,V3)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #25: input, references = 4, size of lhs = 0:
% 0.19/0.45 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #26: input, references = 4, size of lhs = 1:
% 0.19/0.45 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #27: input, references = 3, size of lhs = 2:
% 0.19/0.45 pppp0-{F}(V0,V1), unorthogonal_lines-{F}(V1,V0) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #28: input, references = 4, size of lhs = 1:
% 0.19/0.45 pppp0-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #29: input, references = 3, size of lhs = 2:
% 0.19/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #30: input, references = 3, size of lhs = 2:
% 0.19/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #31: input, references = 3, size of lhs = 2:
% 0.19/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #32: input, references = 3, size of lhs = 2:
% 0.19/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 number of initial rules = 33
% 0.19/0.45
% 0.19/0.45 Simplifiers:
% 0.19/0.45 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 number of simplifiers = 7
% 0.19/0.45
% 0.19/0.45 Learnt:
% 0.19/0.45 #41: disj( #17, input ), references = 1, size of lhs = 1:
% 0.19/0.45 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #43: disj( #4, input ), references = 1, size of lhs = 1:
% 0.19/0.45 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #45: disj( #17, input ), references = 1, size of lhs = 1:
% 0.19/0.45 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #49: disj( #17, input ), references = 2, size of lhs = 1:
% 0.19/0.45 pppp0-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #51: disj( #16, input, input ), references = 1, size of lhs = 3:
% 0.19/0.45 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_orthogonal_through_point-{F}(V3,V4,V1) | apart_point_and_line-{T}(V4,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #55: disj( #5, input ), references = 2, size of lhs = 1:
% 0.19/0.45 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #59: disj( #19, input ), references = 1, size of lhs = 3:
% 0.19/0.45 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), pppp0-{F}(V2,V1) | convergent_lines-{T}(V0,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #60: disj( #19, input ), references = 1, size of lhs = 3:
% 0.19/0.45 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #66: exists( #26, #64 ), references = 1, size of lhs = 1:
% 0.19/0.45 pppp1-{F}(V0) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #68: exists( #25, #65 ), references = 1, size of lhs = 0:
% 0.19/0.45 FALSE | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 number of learnt formulas = 10
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45
% 0.19/0.45 randbase = 1
%------------------------------------------------------------------------------