TSTP Solution File: GEO180+2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% 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 06:01:54 EDT 2022
% Result : Theorem 0.79s 0.97s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % 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 18:02:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.79/0.97 GeoParameters:
% 0.79/0.97
% 0.79/0.97 tptp_input = 1
% 0.79/0.97 tptp_output = 0
% 0.79/0.97 nonempty = 1
% 0.79/0.97 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.97 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.79/0.97
% 0.79/0.97
% 0.79/0.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.97
% 0.79/0.97 RuleSystem INPUT:
% 0.79/0.97
% 0.79/0.97 Initial Rules:
% 0.79/0.97 #0: input, references = 15, size of lhs = 1:
% 0.79/0.97 distinct_points-{F}(V0,V0) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #1: input, references = 4, size of lhs = 1:
% 0.79/0.97 distinct_lines-{F}(V0,V0) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #2: input, references = 3, size of lhs = 1:
% 0.79/0.97 convergent_lines-{F}(V0,V0) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #3: input, references = 6, size of lhs = 2:
% 0.79/0.97 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #4: input, references = 6, size of lhs = 2:
% 0.79/0.97 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #5: input, references = 3, size of lhs = 2:
% 0.79/0.97 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #6: input, references = 9, size of lhs = 3:
% 0.79/0.97 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #7: input, references = 11, size of lhs = 3:
% 0.79/0.97 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #8: input, references = 3, size of lhs = 3:
% 0.79/0.97 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #9: input, references = 3, size of lhs = 3:
% 0.79/0.97 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #10: input, references = 6, size of lhs = 2:
% 0.79/0.97 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)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #11: input, references = 3, size of lhs = 2:
% 0.79/0.97 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #12: input, references = 5, size of lhs = 2:
% 0.79/0.97 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #13: input, references = 3, size of lhs = 1:
% 0.79/0.97 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #14: input, references = 4, size of lhs = 0:
% 0.79/0.97 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #15: input, references = 4, size of lhs = 1:
% 0.79/0.97 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #16: input, references = 5, size of lhs = 2:
% 0.79/0.97 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V1,V3,V2)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #17: input, references = 5, size of lhs = 2:
% 0.79/0.97 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | distinct_points-{T}(V0,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #18: input, references = 4, size of lhs = 3:
% 0.79/0.97 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V2,V1,V4), apart_point_and_line-{F}(V0,V4) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #19: input, references = 8, size of lhs = 2:
% 0.79/0.97 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V2,V1,V4) | apart_point_and_line-{T}(V2,V3)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #20: input, references = 10, size of lhs = 2:
% 0.79/0.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #21: input, references = 3, size of lhs = 2:
% 0.79/0.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 number of initial rules = 22
% 0.79/0.97
% 0.79/0.97 Simplifiers:
% 0.79/0.97 #22: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #23: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #24: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #25: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #26: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #27: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #28: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #29: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #30: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 number of simplifiers = 9
% 0.79/0.97
% 0.79/0.97 Learnt:
% 0.79/0.97 #33: exists( #20, #31 ), references = 1, size of lhs = 1:
% 0.79/0.97 pppp1-{F}(V0,V0) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #35: disj( #3, input ), references = 3, size of lhs = 1:
% 0.79/0.97 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #41: exists( #20, #39 ), references = 1, size of lhs = 3:
% 0.79/0.97 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V1,V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #45: disj( #10, #6+#0, #6+#0 ), references = 1, size of lhs = 6:
% 0.79/0.97 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_lines-{F}(V5,V3) | apart_point_and_line-{T}(V1,V5), apart_point_and_line-{T}(V0,V3)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #47: disj( #44, input ), references = 2, size of lhs = 8:
% 0.79/0.97 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_lines-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V3), pppp0-{F}(V0,V7,V6,V8) | apart_point_and_line-{T}(V1,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #51: disj( #12, #46+#7+#0 ), references = 2, size of lhs = 10:
% 0.79/0.97 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), distinct_points-{F}(V2,V6), P_line_connecting-{F}(V2,V6,V1), distinct_points-{F}(V7,V3), P_line_connecting-{F}(V7,V3,V1), P_line_connecting-{F}(V8,V9,V5), pppp0-{F}(V2,V9,V8,V10) | apart_point_and_line-{T}(V0,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #65: disj( #12, #6+#0 ), references = 3, size of lhs = 3:
% 0.79/0.97 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #67: disj( #4, input ), references = 3, size of lhs = 1:
% 0.79/0.97 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #72: disj( #10, #7+#0, #7+#0, #7+#0 ), references = 1, size of lhs = 8:
% 0.79/0.97 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V3), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V2) | apart_point_and_line-{T}(V5,V3)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #80: mergings( V8 == V6, V4 == V9; #77 ), references = 1, size of lhs = 8:
% 0.79/0.97 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V1), P_line_connecting-{F}(V3,V1,V2), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V2), pppp0-{F}(V4,V1,V6,V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #82: exists( #16, #77 ), references = 1, size of lhs = 9:
% 0.79/0.97 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V1), P_line_connecting-{F}(V3,V1,V2), pppp1-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V2), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #85: disj( #3, #35+#81 ), references = 1, size of lhs = 9:
% 0.79/0.97 distinct_points-{F}(V0,V1), pppp1-{F}(V0,V2), distinct_points-{F}(V0,V2), distinct_points-{F}(V3,V2), P_line_connecting-{F}(V3,V2,V4), P_line_connecting-{F}(V0,V2,V4), P_line_connecting-{F}(V5,V0,V4), distinct_points-{F}(V6,V2), P_line_connecting-{F}(V6,V2,V4) | distinct_points-{T}(V1,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #116: disj( #10, #6+#0, #6+#0 ), references = 1, size of lhs = 6:
% 0.79/0.97 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V4) | apart_point_and_line-{T}(V1,V3), apart_point_and_line-{T}(V1,V4)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #117: disj( #10, #6+#0, #65+#1 ), references = 1, size of lhs = 6:
% 0.79/0.97 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V4) | apart_point_and_line-{T}(V1,V3), apart_point_and_line-{T}(V1,V4)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #118: disj( #10, #65+#1, #6+#0 ), references = 1, size of lhs = 6:
% 0.79/0.97 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V4) | apart_point_and_line-{T}(V1,V3), apart_point_and_line-{T}(V1,V4)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #121: disj( #112, #7+#0 ), references = 3, size of lhs = 8:
% 0.79/0.97 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V4), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V3) | apart_point_and_line-{T}(V1,V4)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #141: disj( #4, #121+#6+#0 ), references = 1, size of lhs = 10:
% 0.79/0.97 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V6), distinct_points-{F}(V7,V1), P_line_connecting-{F}(V7,V1,V3), distinct_points-{F}(V1,V8), P_line_connecting-{F}(V1,V8,V6) | distinct_lines-{T}(V4,V6)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #174: disj( #4, #121+#51+#7+#0 ), references = 1, size of lhs = 19:
% 0.79/0.97 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3), distinct_points-{F}(V2,V4), P_line_connecting-{F}(V2,V4,V1), distinct_points-{F}(V2,V5), P_line_connecting-{F}(V2,V5,V6), distinct_points-{F}(V7,V3), P_line_connecting-{F}(V7,V3,V1), distinct_points-{F}(V8,V3), P_line_connecting-{F}(V8,V3,V9), distinct_points-{F}(V10,V11), distinct_points-{F}(V11,V12), P_line_connecting-{F}(V11,V12,V9), distinct_points-{F}(V10,V13), P_line_connecting-{F}(V10,V13,V6), distinct_points-{F}(V14,V11), P_line_connecting-{F}(V14,V11,V6), P_line_connecting-{F}(V15,V16,V9), pppp0-{F}(V10,V16,V15,V17) | distinct_lines-{T}(V0,V6)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #188: mergings( V16 == V10, V10 == V13, V4 == V17, V17 == V18; #183 ), references = 1, size of lhs = 19:
% 0.79/0.97 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V1), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V6), distinct_points-{F}(V7,V1), P_line_connecting-{F}(V7,V1,V2), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V8,V9,V6), distinct_points-{F}(V8,V10), pppp0-{F}(V8,V1,V10,V2), distinct_points-{F}(V11,V10), P_line_connecting-{F}(V11,V10,V6), distinct_points-{F}(V8,V12), P_line_connecting-{F}(V8,V12,V6), distinct_points-{F}(V13,V10), P_line_connecting-{F}(V13,V10,V6) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #193: mergings( V8 == V0, V5 == V9, V9 == V10; #189 ), references = 2, size of lhs = 9:
% 0.79/0.97 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V1), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V5,V1,V2), distinct_points-{F}(V3,V6), pppp0-{F}(V3,V1,V6,V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #198: mergings( V8 == V2, V5 == V9, V9 == V10; #194 ), references = 2, size of lhs = 9:
% 0.79/0.97 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), distinct_points-{F}(V3,V2), P_line_connecting-{F}(V3,V2,V4), distinct_points-{F}(V1,V5), P_line_connecting-{F}(V1,V5,V4), distinct_points-{F}(V6,V2), P_line_connecting-{F}(V6,V2,V4), pppp0-{F}(V1,V2,V7,V4) | distinct_points-{T}(V0,V7)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #214: mergings( V3 == V11, V6 == V1, V8 == V5; #208 ), references = 1, size of lhs = 10:
% 0.79/0.97 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V3), distinct_points-{F}(V4,V3), P_line_connecting-{F}(V4,V3,V2), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V2), distinct_points-{F}(V6,V3), P_line_connecting-{F}(V6,V3,V2), pppp0-{F}(V0,V3,V7,V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #218: mergings( V3 == V11, V6 == V1, V8 == V5; #209 ), references = 1, size of lhs = 10:
% 0.79/0.97 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V3), distinct_points-{F}(V4,V3), P_line_connecting-{F}(V4,V3,V2), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V2), distinct_points-{F}(V6,V3), P_line_connecting-{F}(V6,V3,V2), pppp0-{F}(V0,V3,V7,V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #221: exists( #16, #208 ), references = 1, size of lhs = 11:
% 0.79/0.97 pppp1-{F}(V0,V1), distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V3), P_line_connecting-{F}(V0,V3,V2), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V2), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V2), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #222: exists( #16, #209 ), references = 1, size of lhs = 11:
% 0.79/0.97 pppp1-{F}(V0,V1), distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V3), P_line_connecting-{F}(V0,V3,V2), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V2), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V2), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #227: exists( #20, #223 ), references = 1, size of lhs = 1:
% 0.79/0.97 pppp1-{F}(V0,V1) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #230: exists( #15, #225 ), references = 1, size of lhs = 1:
% 0.79/0.97 pppp2-{F}(V0) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #233: exists( #14, #228 ), references = 1, size of lhs = 0:
% 0.79/0.97 FALSE | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 number of learnt formulas = 28
% 0.79/0.97
% 0.79/0.97
% 0.79/0.97 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.97
% 0.79/0.97 randbase = 1
%------------------------------------------------------------------------------