TSTP Solution File: GEO201+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:02:02 EDT 2022
% Result : Theorem 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 17:33:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.58 GeoParameters:
% 0.42/0.58
% 0.42/0.58 tptp_input = 1
% 0.42/0.58 tptp_output = 0
% 0.42/0.58 nonempty = 1
% 0.42/0.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.42/0.58
% 0.42/0.58
% 0.42/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58
% 0.42/0.58 RuleSystem INPUT:
% 0.42/0.58
% 0.42/0.58 Initial Rules:
% 0.42/0.58 #0: input, references = 4, size of lhs = 1:
% 0.42/0.58 distinct_points-{F}(V0,V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #1: input, references = 3, size of lhs = 1:
% 0.42/0.58 distinct_lines-{F}(V0,V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #2: input, references = 3, size of lhs = 1:
% 0.42/0.58 convergent_lines-{F}(V0,V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #3: input, references = 5, size of lhs = 2:
% 0.42/0.58 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #4: input, references = 3, size of lhs = 2:
% 0.42/0.58 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #5: input, references = 10, size of lhs = 2:
% 0.42/0.58 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #6: input, references = 4, size of lhs = 3:
% 0.42/0.58 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #7: input, references = 3, size of lhs = 3:
% 0.42/0.58 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #8: input, references = 7, size of lhs = 3:
% 0.42/0.58 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #9: input, references = 6, size of lhs = 3:
% 0.42/0.58 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #10: input, references = 5, size of lhs = 2:
% 0.42/0.58 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)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #11: input, references = 3, size of lhs = 2:
% 0.42/0.58 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #12: input, references = 3, size of lhs = 2:
% 0.42/0.58 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #13: input, references = 4, size of lhs = 2:
% 0.42/0.58 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #14: input, references = 4, size of lhs = 0:
% 0.42/0.58 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #15: input, references = 4, size of lhs = 1:
% 0.42/0.58 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #16: input, references = 5, size of lhs = 3:
% 0.42/0.58 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V0,V3) | distinct_points-{T}(V2,V3)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #17: input, references = 4, size of lhs = 3:
% 0.42/0.58 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V0,V3) | convergent_lines-{T}(V0,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #18: input, references = 3, size of lhs = 2:
% 0.42/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #19: input, references = 6, size of lhs = 2:
% 0.42/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 number of initial rules = 20
% 0.42/0.58
% 0.42/0.58 Simplifiers:
% 0.42/0.58 #20: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #21: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #22: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #23: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #24: unsound, references = 3, size of lhs = 3:
% 0.42/0.58 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 number of simplifiers = 5
% 0.42/0.58
% 0.42/0.58 Learnt:
% 0.42/0.58 #29: exists( #19, #26 ), references = 1, size of lhs = 1:
% 0.42/0.58 pppp0-{F}(V0,V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #31: disj( #5, input ), references = 4, size of lhs = 1:
% 0.42/0.58 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #33: disj( #3, input ), references = 2, size of lhs = 1:
% 0.42/0.58 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #35: disj( #13, input ), references = 6, size of lhs = 1:
% 0.42/0.58 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #42: disj( #10, input, input, input ), references = 2, size of lhs = 8:
% 0.42/0.58 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V2), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V2) | apart_point_and_line-{T}(V1,V4)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #43: disj( #10, input, input, input ), references = 5, size of lhs = 8:
% 0.42/0.58 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,V4), distinct_lines-{F}(V4,V5), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V2) | apart_point_and_line-{T}(V1,V5)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #44: disj( #10, input, input, input ), references = 2, size of lhs = 8:
% 0.42/0.58 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V1), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V1) | apart_point_and_line-{T}(V0,V4)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #47: disj( #5, #36+#8 ), references = 2, size of lhs = 10:
% 0.42/0.58 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V2), P_intersection_point-{F}(V4,V7,V2), convergent_lines-{F}(V4,V8), P_intersection_point-{F}(V4,V8,V1) | convergent_lines-{T}(V5,V7)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #57: disj( #3, #33+#43+#6 ), references = 1, size of lhs = 6:
% 0.42/0.58 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V2,V1,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V1), P_line_connecting-{F}(V1,V2,V5), distinct_lines-{F}(V5,V3) | distinct_points-{T}(V0,V2)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #62: disj( #5, #35+#43+#8 ), references = 1, size of lhs = 9:
% 0.42/0.58 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), distinct_points-{F}(V3,V4), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_intersection_point-{F}(V1,V6,V4), distinct_points-{F}(V7,V3), P_line_connecting-{F}(V7,V3,V6) | convergent_lines-{T}(V0,V6)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #85: disj( #5, #31+#35+#47+#42+#8 ), references = 1, size of lhs = 15:
% 0.42/0.58 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), distinct_points-{F}(V3,V4), P_intersection_point-{F}(V1,V5,V4), distinct_points-{F}(V6,V3), P_line_connecting-{F}(V6,V3,V7), P_intersection_point-{F}(V7,V1,V4), P_intersection_point-{F}(V7,V5,V8), P_intersection_point-{F}(V1,V7,V8), convergent_lines-{F}(V1,V9), P_intersection_point-{F}(V1,V9,V10), distinct_points-{F}(V10,V8), distinct_points-{F}(V11,V10), P_line_connecting-{F}(V11,V10,V7) | convergent_lines-{T}(V0,V7)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #98: disj( #5, #35+#43+#9 ), references = 1, size of lhs = 10:
% 0.42/0.58 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), convergent_lines-{F}(V6,V1), P_intersection_point-{F}(V6,V1,V7), distinct_points-{F}(V7,V3), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V8,V7,V5) | convergent_lines-{T}(V0,V5)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #111: disj( #5, #35+#43+#9 ), references = 2, size of lhs = 9:
% 0.42/0.58 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,V4), P_intersection_point-{F}(V5,V4,V2), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V7,V5,V1), convergent_lines-{F}(V7,V5) | convergent_lines-{T}(V6,V4)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #117: disj( #5, #111+#31+#44+#9 ), references = 1, size of lhs = 18:
% 0.42/0.58 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), distinct_points-{F}(V4,V3), distinct_points-{F}(V3,V5), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V7), P_line_connecting-{F}(V4,V3,V7), P_intersection_point-{F}(V1,V7,V5), distinct_lines-{F}(V7,V8), convergent_lines-{F}(V9,V8), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V11), P_intersection_point-{F}(V9,V8,V12), distinct_points-{F}(V12,V11), distinct_points-{F}(V12,V13), P_line_connecting-{F}(V12,V13,V7), P_intersection_point-{F}(V7,V14,V11) | convergent_lines-{T}(V0,V14)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #119: disj( #10, input, input ), references = 1, size of lhs = 6:
% 0.42/0.58 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), distinct_points-{F}(V5,V2) | apart_point_and_line-{T}(V2,V3), apart_point_and_line-{T}(V5,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #121: disj( #118, input ), references = 1, size of lhs = 8:
% 0.42/0.58 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), distinct_points-{F}(V5,V2), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V2) | apart_point_and_line-{T}(V5,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #129: mergings( V3 == V4; #127 ), references = 1, size of lhs = 2:
% 0.42/0.58 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #131: exists( #19, #127 ), references = 1, size of lhs = 1:
% 0.42/0.58 pppp0-{F}(V0,V1) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #133: exists( #15, #130 ), references = 1, size of lhs = 1:
% 0.42/0.58 pppp1-{F}(V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #135: exists( #14, #132 ), references = 1, size of lhs = 0:
% 0.42/0.58 FALSE | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 number of learnt formulas = 20
% 0.42/0.58
% 0.42/0.58
% 0.42/0.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58
% 0.42/0.58 randbase = 1
%------------------------------------------------------------------------------