TSTP Solution File: GEO173+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:01:51 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 17:53:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 GeoParameters:
% 0.19/0.47
% 0.19/0.47 tptp_input = 1
% 0.19/0.47 tptp_output = 0
% 0.19/0.47 nonempty = 1
% 0.19/0.47 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 RuleSystem INPUT:
% 0.19/0.47
% 0.19/0.47 Initial Rules:
% 0.19/0.47 #0: input, references = 4, size of lhs = 1:
% 0.19/0.47 distinct_points-{F}(V0,V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #1: input, references = 3, size of lhs = 1:
% 0.19/0.47 distinct_lines-{F}(V0,V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #2: input, references = 3, size of lhs = 1:
% 0.19/0.47 convergent_lines-{F}(V0,V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #3: input, references = 5, size of lhs = 2:
% 0.19/0.47 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #4: input, references = 4, size of lhs = 2:
% 0.19/0.47 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #5: input, references = 4, size of lhs = 2:
% 0.19/0.47 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #6: input, references = 4, size of lhs = 3:
% 0.19/0.47 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #7: input, references = 3, size of lhs = 3:
% 0.19/0.47 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #8: input, references = 4, size of lhs = 3:
% 0.19/0.47 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #9: input, references = 4, size of lhs = 3:
% 0.19/0.47 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #10: input, references = 5, size of lhs = 2:
% 0.19/0.47 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)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #11: input, references = 3, size of lhs = 2:
% 0.19/0.47 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #12: input, references = 3, size of lhs = 2:
% 0.19/0.47 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #13: input, references = 4, size of lhs = 2:
% 0.19/0.47 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #14: input, references = 4, size of lhs = 0:
% 0.19/0.47 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #15: input, references = 4, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #16: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #17: input, references = 4, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V2,V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #18: input, references = 4, size of lhs = 2:
% 0.19/0.47 pppp2-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #19: input, references = 4, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #20: input, references = 7, size of lhs = 2:
% 0.19/0.47 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #21: input, references = 8, size of lhs = 2:
% 0.19/0.47 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_points-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #22: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp0-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #23: input, references = 7, size of lhs = 2:
% 0.19/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #24: input, references = 3, size of lhs = 2:
% 0.19/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of initial rules = 25
% 0.19/0.47
% 0.19/0.47 Simplifiers:
% 0.19/0.47 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V2), V1 == V4 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of simplifiers = 10
% 0.19/0.47
% 0.19/0.47 Learnt:
% 0.19/0.47 #36: disj( #3, input ), references = 5, size of lhs = 1:
% 0.19/0.47 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #38: disj( #13, input ), references = 1, size of lhs = 1:
% 0.19/0.47 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #41: disj( #5, input ), references = 1, size of lhs = 1:
% 0.19/0.47 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #44: exists( #23, #42 ), references = 1, size of lhs = 1:
% 0.19/0.47 pppp1-{F}(V0,V0,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #48: disj( #10, input, input ), references = 1, size of lhs = 6:
% 0.19/0.47 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V2,V1,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V3) | apart_point_and_line-{T}(V1,V4), apart_point_and_line-{T}(V0,V4)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #49: disj( #10, input, input ), references = 1, size of lhs = 6:
% 0.19/0.47 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), P_intersection_point-{F}(V5,V3,V1), convergent_lines-{F}(V5,V3) | apart_point_and_line-{T}(V1,V4), apart_point_and_line-{T}(V0,V4)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #52: disj( #45, input ), references = 3, size of lhs = 7:
% 0.19/0.47 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V2,V1,V3), distinct_lines-{F}(V3,V4), pppp2-{F}(V1,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V3) | apart_point_and_line-{T}(V0,V4)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #53: disj( #45, input ), references = 1, size of lhs = 8:
% 0.19/0.47 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V2,V1,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V3), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V1) | apart_point_and_line-{T}(V0,V4)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #59: disj( #3, #36+#52+#9 ), references = 1, size of lhs = 6:
% 0.19/0.47 distinct_points-{F}(V0,V1), pppp2-{F}(V1,V2), convergent_lines-{F}(V3,V2), P_intersection_point-{F}(V3,V2,V4), P_line_connecting-{F}(V4,V1,V5), distinct_lines-{F}(V5,V2) | distinct_points-{T}(V0,V4)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #68: disj( #10, input, input, input ), references = 2, size of lhs = 8:
% 0.19/0.47 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V5,V4,V3), distinct_points-{F}(V5,V4), distinct_points-{F}(V4,V6), P_line_connecting-{F}(V4,V6,V2) | apart_point_and_line-{T}(V1,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #69: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.19/0.47 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V5,V4,V3), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V6,V4,V2), distinct_points-{F}(V6,V4) | apart_point_and_line-{T}(V1,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #70: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.19/0.47 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), P_line_connecting-{F}(V0,V1,V5), distinct_lines-{F}(V5,V4), distinct_points-{F}(V1,V6), P_line_connecting-{F}(V1,V6,V4) | apart_point_and_line-{T}(V2,V5)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #85: mergings( V7 == V8, V3 == V8; #81 ), references = 1, size of lhs = 7:
% 0.19/0.47 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp2-{F}(V3,V1), P_line_connecting-{F}(V2,V3,V4), distinct_lines-{F}(V4,V1), P_line_connecting-{F}(V2,V5,V1), pppp1-{F}(V5,V3,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #87: mergings( V7 == V8; #82 ), references = 1, size of lhs = 9:
% 0.19/0.47 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp2-{F}(V3,V1), P_line_connecting-{F}(V2,V3,V4), distinct_lines-{F}(V4,V1), P_line_connecting-{F}(V2,V5,V6), pppp1-{F}(V5,V3,V6), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V3) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #110: mergings( V3 == V4; #106 ), references = 1, size of lhs = 2:
% 0.19/0.47 P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V1,V0,V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #118: disj( #4, input ), references = 1, size of lhs = 1:
% 0.19/0.47 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #125: mergings( V3 == V4; #123 ), references = 1, size of lhs = 2:
% 0.19/0.47 pppp2-{F}(V0,V1), pppp1-{F}(V2,V0,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #127: exists( #17, #123 ), references = 1, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #129: exists( #15, #126 ), references = 1, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #131: exists( #14, #128 ), references = 1, size of lhs = 0:
% 0.19/0.47 FALSE | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of learnt formulas = 20
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 randbase = 1
%------------------------------------------------------------------------------