TSTP Solution File: GEO218+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:02:08 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % 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 18:23:23 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/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 % SZS output start Refutation for /export/starexec/sandbox2/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 = 3, size of lhs = 1:
% 0.18/0.47 distinct_points-{F}(V0,V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #1: input, references = 3, size of lhs = 1:
% 0.18/0.47 distinct_lines-{F}(V0,V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #2: input, references = 3, size of lhs = 1:
% 0.18/0.47 convergent_lines-{F}(V0,V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #3: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #4: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #5: input, references = 6, size of lhs = 2:
% 0.18/0.47 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #6: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #7: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #8: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #9: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #10: input, references = 3, size of lhs = 2:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #11: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #12: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #13: input, references = 4, size of lhs = 2:
% 0.18/0.47 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #14: input, references = 8, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 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 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #16: input, references = 4, size of lhs = 3:
% 0.18/0.47 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(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 = 3:
% 0.18/0.47 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(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 = 3:
% 0.18/0.47 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #19: input, references = 4, size of lhs = 2:
% 0.18/0.47 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #20: input, references = 4, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #21: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #22: input, references = 5, size of lhs = 1:
% 0.18/0.47 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #23: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp1-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #24: input, references = 6, size of lhs = 2:
% 0.18/0.47 pppp0-{F}(V0,V1,V2), unorthogonal_lines-{F}(V0,V2) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #25: input, references = 5, size of lhs = 2:
% 0.18/0.47 pppp0-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #26: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #27: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of initial rules = 28
% 0.18/0.47
% 0.18/0.47 Simplifiers:
% 0.18/0.47 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of simplifiers = 8
% 0.18/0.47
% 0.18/0.47 Learnt:
% 0.18/0.47 #37: disj( #5, input ), references = 6, size of lhs = 1:
% 0.18/0.47 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #39: disj( #13, input ), references = 1, size of lhs = 1:
% 0.18/0.47 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #41: disj( #14, input ), references = 1, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #44: disj( #14, #37+#25 ), references = 1, size of lhs = 1:
% 0.18/0.47 pppp0-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #46: disj( #14, input ), references = 1, size of lhs = 1:
% 0.18/0.47 pppp0-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #49: exists( #22, #47 ), references = 1, size of lhs = 1:
% 0.18/0.47 pppp1-{F}(V0,V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #52: disj( #5, #37+#25 ), references = 1, size of lhs = 2:
% 0.18/0.47 convergent_lines-{F}(V0,V1), pppp0-{F}(V2,V0,V3) | convergent_lines-{T}(V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #54: disj( #19, input ), references = 1, size of lhs = 2:
% 0.18/0.47 convergent_lines-{F}(V0,V1), pppp0-{F}(V2,V3,V1) | unorthogonal_lines-{T}(V2,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #56: disj( #14, input ), references = 1, size of lhs = 1:
% 0.18/0.47 pppp0-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #58: disj( #16, input ), references = 2, size of lhs = 3:
% 0.18/0.47 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), pppp0-{F}(V2,V0,V3) | unorthogonal_lines-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #64: mergings( V1 == V4, V3 == V0; #61 ), references = 1, size of lhs = 2:
% 0.18/0.47 unorthogonal_lines-{F}(V0,V1), pppp0-{F}(V2,V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #66: disj( #5, input ), references = 1, size of lhs = 2:
% 0.18/0.47 convergent_lines-{F}(V0,V1), pppp0-{F}(V1,V2,V3) | convergent_lines-{T}(V0,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #73: exists( #22, #71 ), references = 1, size of lhs = 2:
% 0.18/0.47 pppp1-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #76: exists( #21, #74 ), references = 1, size of lhs = 1:
% 0.18/0.47 pppp2-{F}(V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #78: exists( #20, #75 ), references = 1, size of lhs = 0:
% 0.18/0.47 FALSE | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of learnt formulas = 15
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 randbase = 1
%------------------------------------------------------------------------------