TSTP Solution File: GEO202+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO202+2 : 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 06:02:03 EDT 2022
% Result : Theorem 9.43s 9.60s
% Output : Refutation 9.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 17:53:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 9.43/9.60 GeoParameters:
% 9.43/9.60
% 9.43/9.60 tptp_input = 1
% 9.43/9.60 tptp_output = 0
% 9.43/9.60 nonempty = 1
% 9.43/9.60 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/9.60 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.43/9.60
% 9.43/9.60
% 9.43/9.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/9.60 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/9.60
% 9.43/9.60 RuleSystem INPUT:
% 9.43/9.60
% 9.43/9.60 Initial Rules:
% 9.43/9.60 #0: input, references = 19, size of lhs = 1:
% 9.43/9.60 distinct_points-{F}(V0,V0) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #1: input, references = 5, size of lhs = 1:
% 9.43/9.60 distinct_lines-{F}(V0,V0) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #2: input, references = 4, size of lhs = 1:
% 9.43/9.60 convergent_lines-{F}(V0,V0) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #3: input, references = 5, size of lhs = 2:
% 9.43/9.60 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #4: input, references = 5, size of lhs = 2:
% 9.43/9.60 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #5: input, references = 5, size of lhs = 2:
% 9.43/9.60 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #6: input, references = 17, size of lhs = 3:
% 9.43/9.60 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #7: input, references = 17, size of lhs = 3:
% 9.43/9.60 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #8: input, references = 6, size of lhs = 3:
% 9.43/9.60 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #9: input, references = 9, size of lhs = 3:
% 9.43/9.60 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #10: input, references = 6, size of lhs = 2:
% 9.43/9.60 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)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #11: input, references = 3, size of lhs = 2:
% 9.43/9.60 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #12: input, references = 3, size of lhs = 2:
% 9.43/9.60 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #13: input, references = 32, size of lhs = 1:
% 9.43/9.60 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #14: input, references = 4, size of lhs = 0:
% 9.43/9.60 FALSE | EXISTS V0: pppp2-{T}(V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #15: input, references = 4, size of lhs = 1:
% 9.43/9.60 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #16: input, references = 4, size of lhs = 2:
% 9.43/9.60 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V3,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #17: input, references = 5, size of lhs = 2:
% 9.43/9.60 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | distinct_points-{T}(V0,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #18: input, references = 4, size of lhs = 3:
% 9.43/9.60 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_intersection_point-{F}(V3,V2,V4) | distinct_points-{T}(V4,V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #19: input, references = 24, size of lhs = 3:
% 9.43/9.60 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_intersection_point-{F}(V3,V2,V4) | convergent_lines-{T}(V3,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #20: input, references = 4, size of lhs = 3:
% 9.43/9.60 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_intersection_point-{F}(V3,V2,V4) | distinct_points-{T}(V0,V1)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #21: input, references = 7, size of lhs = 2:
% 9.43/9.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #22: input, references = 19, size of lhs = 2:
% 9.43/9.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 number of initial rules = 23
% 9.43/9.60
% 9.43/9.60 Simplifiers:
% 9.43/9.60 #23: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #24: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #25: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #26: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #27: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #28: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #29: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 number of simplifiers = 7
% 9.43/9.60
% 9.43/9.60 Learnt:
% 9.43/9.60 #32: exists( #21, #30 ), references = 1, size of lhs = 1:
% 9.43/9.60 pppp1-{F}(V0,V0) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #34: disj( #3, input ), references = 10, size of lhs = 1:
% 9.43/9.60 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #40: disj( #4, input ), references = 4, size of lhs = 1:
% 9.43/9.60 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #42: disj( #5, input ), references = 24, size of lhs = 1:
% 9.43/9.60 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #45: disj( #10, #7+#0, #7+#0, #7+#0 ), references = 5, size of lhs = 8:
% 9.43/9.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V3), distinct_points-{F}(V6,V4), P_line_connecting-{F}(V6,V4,V2) | apart_point_and_line-{T}(V1,V3)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #54: disj( #4, #40+#45+#6+#0 ), references = 10, size of lhs = 10:
% 9.43/9.60 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V1), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), distinct_points-{F}(V6,V3), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V7,V6,V5), distinct_points-{F}(V8,V6), P_line_connecting-{F}(V8,V6,V1) | distinct_lines-{T}(V0,V5)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #62: disj( #5, #42+#13+#54+#45+#6+#54+#1 ), references = 8, size of lhs = 27:
% 9.43/9.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), convergent_lines-{F}(V2,V3), distinct_points-{F}(V1,V4), P_line_connecting-{F}(V1,V4,V5), distinct_points-{F}(V6,V1), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V7,V6,V5), distinct_points-{F}(V8,V6), P_line_connecting-{F}(V8,V6,V2), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V2), P_line_connecting-{F}(V10,V11,V5), distinct_points-{F}(V11,V12), P_line_connecting-{F}(V11,V12,V13), distinct_points-{F}(V11,V14), P_line_connecting-{F}(V11,V14,V13), distinct_points-{F}(V15,V10), distinct_points-{F}(V16,V15), P_line_connecting-{F}(V16,V15,V13), distinct_points-{F}(V17,V15), P_line_connecting-{F}(V17,V15,V2), distinct_points-{F}(V18,V11), distinct_points-{F}(V19,V18), P_line_connecting-{F}(V19,V18,V13), distinct_points-{F}(V20,V18), P_line_connecting-{F}(V20,V18,V5) | convergent_lines-{T}(V3,V13)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #65: disj( #10, #6+#0, #6+#0 ), references = 1, size of lhs = 6:
% 9.43/9.60 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)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #68: disj( #64, #7+#0 ), references = 25, size of lhs = 8:
% 9.43/9.60 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,V4) | apart_point_and_line-{T}(V1,V3)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #80: exists( #22, #78 ), references = 4, size of lhs = 12:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), P_line_connecting-{F}(V1,V7,V3), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V8,V7,V3), pppp0-{F}(V9,V10,V5), P_line_connecting-{F}(V9,V10,V3) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #119: exists( #22, #113 ), references = 2, size of lhs = 26:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), distinct_points-{F}(V1,V7), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V8,V7,V9), distinct_points-{F}(V7,V10), P_line_connecting-{F}(V7,V10,V5), distinct_points-{F}(V11,V1), P_line_connecting-{F}(V11,V1,V5), P_line_connecting-{F}(V12,V1,V9), distinct_points-{F}(V13,V12), P_line_connecting-{F}(V13,V12,V3), distinct_points-{F}(V12,V14), P_line_connecting-{F}(V12,V14,V3), distinct_points-{F}(V15,V12), distinct_points-{F}(V16,V15), P_line_connecting-{F}(V16,V15,V9), distinct_points-{F}(V17,V15), P_line_connecting-{F}(V17,V15,V3), pppp0-{F}(V18,V19,V3), P_line_connecting-{F}(V18,V19,V5) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #120: exists( #22, #114 ), references = 2, size of lhs = 26:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), distinct_points-{F}(V1,V7), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V8,V7,V9), distinct_points-{F}(V7,V10), P_line_connecting-{F}(V7,V10,V5), distinct_points-{F}(V11,V1), P_line_connecting-{F}(V11,V1,V5), P_line_connecting-{F}(V12,V1,V9), distinct_points-{F}(V13,V12), P_line_connecting-{F}(V13,V12,V3), distinct_points-{F}(V12,V14), P_line_connecting-{F}(V12,V14,V3), distinct_points-{F}(V15,V12), distinct_points-{F}(V16,V15), P_line_connecting-{F}(V16,V15,V9), distinct_points-{F}(V17,V15), P_line_connecting-{F}(V17,V15,V3), pppp0-{F}(V18,V19,V3), P_line_connecting-{F}(V18,V19,V5) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #122: mergings( V22 == V29; #118 ), references = 1, size of lhs = 37:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), distinct_points-{F}(V1,V7), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V8,V7,V9), distinct_points-{F}(V7,V10), P_line_connecting-{F}(V7,V10,V11), distinct_points-{F}(V7,V12), P_line_connecting-{F}(V7,V12,V13), distinct_points-{F}(V14,V1), P_line_connecting-{F}(V14,V1,V5), P_line_connecting-{F}(V15,V1,V9), distinct_points-{F}(V16,V15), P_line_connecting-{F}(V16,V15,V3), distinct_points-{F}(V15,V17), P_line_connecting-{F}(V15,V17,V3), distinct_points-{F}(V18,V15), distinct_points-{F}(V19,V18), P_line_connecting-{F}(V19,V18,V9), distinct_points-{F}(V20,V18), P_line_connecting-{F}(V20,V18,V3), pppp0-{F}(V21,V22,V3), P_line_connecting-{F}(V21,V22,V5), pppp0-{F}(V21,V23,V13), P_line_connecting-{F}(V21,V23,V11), distinct_points-{F}(V24,V25), P_line_connecting-{F}(V24,V25,V13), distinct_points-{F}(V25,V26), P_line_connecting-{F}(V25,V26,V5), P_line_connecting-{F}(V25,V27,V11), distinct_points-{F}(V28,V27), P_line_connecting-{F}(V28,V27,V11) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #177: exists( #22, #175 ), references = 1, size of lhs = 10:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), P_intersection_point-{F}(V5,V3,V1), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), pppp0-{F}(V7,V8,V5), P_line_connecting-{F}(V7,V8,V3) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #243: exists( #22, #241 ), references = 2, size of lhs = 28:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), distinct_points-{F}(V7,V1), distinct_points-{F}(V7,V8), P_line_connecting-{F}(V7,V8,V9), P_line_connecting-{F}(V10,V1,V9), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V3), distinct_points-{F}(V7,V12), P_line_connecting-{F}(V7,V12,V5), distinct_points-{F}(V13,V1), P_line_connecting-{F}(V13,V1,V5), pppp0-{F}(V14,V15,V3), P_line_connecting-{F}(V14,V15,V5), distinct_points-{F}(V16,V17), P_line_connecting-{F}(V16,V17,V3), distinct_points-{F}(V17,V18), P_line_connecting-{F}(V17,V18,V9), distinct_points-{F}(V19,V17), distinct_points-{F}(V20,V19), P_line_connecting-{F}(V20,V19,V9), distinct_points-{F}(V21,V19), P_line_connecting-{F}(V21,V19,V3) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #269: mergings( V10 == V30; #267 ), references = 1, size of lhs = 46:
% 9.43/9.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V4), distinct_points-{F}(V7,V5), P_line_connecting-{F}(V7,V5,V2), pppp0-{F}(V8,V9,V2), P_line_connecting-{F}(V8,V9,V10), distinct_points-{F}(V11,V12), distinct_points-{F}(V11,V13), P_line_connecting-{F}(V11,V13,V10), distinct_points-{F}(V11,V14), P_line_connecting-{F}(V11,V14,V4), distinct_points-{F}(V15,V12), P_line_connecting-{F}(V15,V12,V4), distinct_points-{F}(V12,V16), P_line_connecting-{F}(V12,V16,V17), P_line_connecting-{F}(V8,V18,V17), pppp0-{F}(V8,V18,V19), distinct_points-{F}(V20,V21), P_line_connecting-{F}(V20,V21,V10), distinct_points-{F}(V22,V21), distinct_points-{F}(V22,V23), P_line_connecting-{F}(V22,V23,V19), distinct_points-{F}(V22,V24), P_line_connecting-{F}(V22,V24,V17), distinct_points-{F}(V25,V21), P_line_connecting-{F}(V25,V21,V17), P_line_connecting-{F}(V12,V21,V26), P_line_connecting-{F}(V27,V21,V26), distinct_points-{F}(V27,V28), P_line_connecting-{F}(V27,V28,V19), distinct_points-{F}(V29,V21), P_line_connecting-{F}(V29,V21,V17), distinct_points-{F}(V30,V31), P_line_connecting-{F}(V30,V31,V19), distinct_points-{F}(V31,V32), P_line_connecting-{F}(V31,V32,V26), distinct_points-{F}(V33,V31), distinct_points-{F}(V34,V33), P_line_connecting-{F}(V34,V33,V26), distinct_points-{F}(V35,V33), P_line_connecting-{F}(V35,V33,V19) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #297: exists( #22, #295 ), references = 4, size of lhs = 20:
% 9.43/9.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V4), distinct_points-{F}(V7,V5), P_line_connecting-{F}(V7,V5,V2), pppp0-{F}(V8,V9,V2), P_line_connecting-{F}(V8,V9,V10), distinct_points-{F}(V11,V12), distinct_points-{F}(V11,V13), P_line_connecting-{F}(V11,V13,V4), distinct_points-{F}(V11,V14), P_line_connecting-{F}(V11,V14,V10), distinct_points-{F}(V15,V12), P_line_connecting-{F}(V15,V12,V10), distinct_points-{F}(V12,V16), P_line_connecting-{F}(V12,V16,V4) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #317: mergings( V16 == V25; #315 ), references = 2, size of lhs = 30:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), distinct_points-{F}(V7,V1), distinct_points-{F}(V7,V8), P_line_connecting-{F}(V7,V8,V9), distinct_points-{F}(V7,V10), P_line_connecting-{F}(V7,V10,V11), distinct_points-{F}(V12,V1), P_line_connecting-{F}(V12,V1,V11), P_line_connecting-{F}(V1,V13,V9), distinct_points-{F}(V14,V13), P_line_connecting-{F}(V14,V13,V3), pppp0-{F}(V15,V16,V3), P_line_connecting-{F}(V15,V16,V5), P_line_connecting-{F}(V15,V17,V11), pppp0-{F}(V15,V17,V18), distinct_points-{F}(V19,V20), P_line_connecting-{F}(V19,V20,V18), distinct_points-{F}(V20,V21), P_line_connecting-{F}(V20,V21,V9), distinct_points-{F}(V22,V20), distinct_points-{F}(V23,V22), P_line_connecting-{F}(V23,V22,V9), distinct_points-{F}(V24,V22), P_line_connecting-{F}(V24,V22,V18) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #349: mergings( V21 == V23; #345 ), references = 1, size of lhs = 28:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), distinct_points-{F}(V7,V1), distinct_points-{F}(V7,V8), P_line_connecting-{F}(V7,V8,V9), distinct_points-{F}(V7,V10), P_line_connecting-{F}(V7,V10,V11), distinct_points-{F}(V12,V1), P_line_connecting-{F}(V12,V1,V11), P_line_connecting-{F}(V1,V13,V9), distinct_points-{F}(V14,V13), P_line_connecting-{F}(V14,V13,V3), distinct_points-{F}(V13,V15), distinct_points-{F}(V16,V15), P_line_connecting-{F}(V16,V15,V17), distinct_points-{F}(V15,V18), P_line_connecting-{F}(V15,V18,V9), distinct_points-{F}(V19,V13), P_line_connecting-{F}(V19,V13,V17), pppp0-{F}(V20,V21,V3), P_line_connecting-{F}(V20,V21,V5), pppp0-{F}(V20,V22,V17), P_line_connecting-{F}(V20,V22,V11) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #351: mergings( V8 == V27; #346 ), references = 1, size of lhs = 34:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), pppp0-{F}(V7,V8,V3), P_line_connecting-{F}(V7,V8,V5), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V3), distinct_points-{F}(V11,V10), distinct_points-{F}(V11,V12), P_line_connecting-{F}(V11,V12,V13), distinct_points-{F}(V11,V14), P_line_connecting-{F}(V11,V14,V15), P_line_connecting-{F}(V1,V10,V15), distinct_points-{F}(V10,V16), distinct_points-{F}(V17,V16), P_line_connecting-{F}(V17,V16,V18), distinct_points-{F}(V16,V19), P_line_connecting-{F}(V16,V19,V15), pppp0-{F}(V7,V20,V13), P_line_connecting-{F}(V7,V20,V15), P_line_connecting-{F}(V21,V10,V18), distinct_points-{F}(V22,V21), P_line_connecting-{F}(V22,V21,V13), distinct_points-{F}(V21,V23), P_line_connecting-{F}(V21,V23,V13), distinct_points-{F}(V24,V21), distinct_points-{F}(V25,V24), P_line_connecting-{F}(V25,V24,V18), distinct_points-{F}(V26,V24), P_line_connecting-{F}(V26,V24,V13) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #353: mergings( V8 == V27; #347 ), references = 1, size of lhs = 34:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), pppp0-{F}(V7,V8,V3), P_line_connecting-{F}(V7,V8,V5), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V3), distinct_points-{F}(V11,V10), distinct_points-{F}(V11,V12), P_line_connecting-{F}(V11,V12,V13), distinct_points-{F}(V11,V14), P_line_connecting-{F}(V11,V14,V15), P_line_connecting-{F}(V1,V10,V15), distinct_points-{F}(V10,V16), distinct_points-{F}(V17,V16), P_line_connecting-{F}(V17,V16,V18), distinct_points-{F}(V16,V19), P_line_connecting-{F}(V16,V19,V15), pppp0-{F}(V7,V20,V13), P_line_connecting-{F}(V7,V20,V15), P_line_connecting-{F}(V21,V10,V18), distinct_points-{F}(V22,V21), P_line_connecting-{F}(V22,V21,V13), distinct_points-{F}(V21,V23), P_line_connecting-{F}(V21,V23,V13), distinct_points-{F}(V24,V21), distinct_points-{F}(V25,V24), P_line_connecting-{F}(V25,V24,V18), distinct_points-{F}(V26,V24), P_line_connecting-{F}(V26,V24,V13) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #377: exists( #22, #375 ), references = 1, size of lhs = 60:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), distinct_points-{F}(V7,V1), P_line_connecting-{F}(V7,V1,V8), distinct_points-{F}(V9,V1), P_line_connecting-{F}(V9,V1,V5), pppp0-{F}(V10,V11,V3), P_line_connecting-{F}(V10,V11,V5), distinct_points-{F}(V12,V13), P_line_connecting-{F}(V12,V13,V3), P_line_connecting-{F}(V12,V1,V14), distinct_points-{F}(V15,V16), P_line_connecting-{F}(V15,V16,V3), distinct_points-{F}(V16,V17), P_line_connecting-{F}(V16,V17,V18), distinct_points-{F}(V19,V16), distinct_points-{F}(V20,V19), P_line_connecting-{F}(V20,V19,V18), distinct_points-{F}(V21,V19), P_line_connecting-{F}(V21,V19,V3), distinct_points-{F}(V22,V23), P_line_connecting-{F}(V22,V23,V3), P_line_connecting-{F}(V23,V24,V18), distinct_points-{F}(V24,V25), P_line_connecting-{F}(V24,V25,V14), distinct_points-{F}(V24,V26), P_line_connecting-{F}(V24,V26,V14), distinct_points-{F}(V27,V23), distinct_points-{F}(V28,V27), P_line_connecting-{F}(V28,V27,V14), distinct_points-{F}(V29,V27), P_line_connecting-{F}(V29,V27,V3), distinct_points-{F}(V30,V24), distinct_points-{F}(V31,V30), P_line_connecting-{F}(V31,V30,V14), distinct_points-{F}(V32,V30), P_line_connecting-{F}(V32,V30,V18), distinct_points-{F}(V33,V34), P_line_connecting-{F}(V33,V34,V3), distinct_points-{F}(V35,V34), P_line_connecting-{F}(V35,V34,V14), distinct_points-{F}(V34,V36), P_line_connecting-{F}(V34,V36,V8), distinct_points-{F}(V37,V34), P_line_connecting-{F}(V37,V34,V14), P_line_connecting-{F}(V34,V38,V8), distinct_points-{F}(V38,V39), P_line_connecting-{F}(V38,V39,V5), distinct_points-{F}(V38,V40), P_line_connecting-{F}(V38,V40,V5), distinct_points-{F}(V41,V38), distinct_points-{F}(V42,V41), P_line_connecting-{F}(V42,V41,V5), distinct_points-{F}(V43,V41), P_line_connecting-{F}(V43,V41,V8) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #411: exists( #22, #409 ), references = 1, size of lhs = 10:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), P_intersection_point-{F}(V3,V5,V1), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), pppp0-{F}(V7,V8,V3), P_line_connecting-{F}(V7,V8,V5) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #477: mergings( V13 == V15, V8 == V34; #472 ), references = 1, size of lhs = 44:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), pppp0-{F}(V7,V8,V3), P_line_connecting-{F}(V7,V8,V5), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V3), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V11,V1,V12), P_line_connecting-{F}(V1,V10,V12), distinct_points-{F}(V13,V11), P_line_connecting-{F}(V13,V11,V3), P_intersection_point-{F}(V12,V5,V14), distinct_points-{F}(V15,V10), P_line_connecting-{F}(V15,V10,V3), distinct_points-{F}(V10,V16), distinct_points-{F}(V17,V16), P_line_connecting-{F}(V17,V16,V3), distinct_points-{F}(V16,V18), P_line_connecting-{F}(V16,V18,V12), distinct_points-{F}(V19,V10), P_line_connecting-{F}(V19,V10,V3), distinct_points-{F}(V20,V21), distinct_points-{F}(V20,V22), P_line_connecting-{F}(V20,V22,V5), distinct_points-{F}(V20,V23), P_line_connecting-{F}(V20,V23,V3), distinct_points-{F}(V24,V21), P_line_connecting-{F}(V24,V21,V3), P_line_connecting-{F}(V21,V14,V25), P_line_connecting-{F}(V7,V26,V25), pppp0-{F}(V7,V26,V27), P_line_connecting-{F}(V28,V14,V25), distinct_points-{F}(V29,V28), distinct_points-{F}(V29,V30), P_line_connecting-{F}(V29,V30,V25), distinct_points-{F}(V29,V31), P_line_connecting-{F}(V29,V31,V27), distinct_points-{F}(V32,V28), P_line_connecting-{F}(V32,V28,V27) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #480: mergings( V13 == V15, V8 == V40; #473 ), references = 1, size of lhs = 52:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), pppp0-{F}(V7,V8,V3), P_line_connecting-{F}(V7,V8,V5), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V3), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V11,V1,V12), P_line_connecting-{F}(V1,V10,V12), distinct_points-{F}(V13,V11), P_line_connecting-{F}(V13,V11,V3), P_intersection_point-{F}(V12,V5,V14), distinct_points-{F}(V15,V14), distinct_points-{F}(V15,V16), P_line_connecting-{F}(V15,V16,V17), distinct_points-{F}(V15,V18), P_line_connecting-{F}(V15,V18,V19), distinct_points-{F}(V14,V20), P_line_connecting-{F}(V14,V20,V17), distinct_points-{F}(V21,V10), P_line_connecting-{F}(V21,V10,V3), distinct_points-{F}(V10,V22), distinct_points-{F}(V23,V22), P_line_connecting-{F}(V23,V22,V3), distinct_points-{F}(V22,V24), P_line_connecting-{F}(V22,V24,V12), distinct_points-{F}(V25,V10), P_line_connecting-{F}(V25,V10,V3), P_line_connecting-{F}(V7,V26,V19), pppp0-{F}(V7,V26,V27), P_line_connecting-{F}(V28,V14,V19), distinct_points-{F}(V29,V28), distinct_points-{F}(V29,V30), P_line_connecting-{F}(V29,V30,V5), distinct_points-{F}(V29,V31), P_line_connecting-{F}(V29,V31,V3), distinct_points-{F}(V32,V28), P_line_connecting-{F}(V32,V28,V3), distinct_points-{F}(V33,V34), P_line_connecting-{F}(V33,V34,V27), distinct_points-{F}(V34,V35), P_line_connecting-{F}(V34,V35,V17), distinct_points-{F}(V36,V34), distinct_points-{F}(V37,V36), P_line_connecting-{F}(V37,V36,V17), distinct_points-{F}(V38,V36), P_line_connecting-{F}(V38,V36,V27) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #484: mergings( V13 == V15, V21 == V26, V8 == V39; #474 ), references = 1, size of lhs = 60:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), pppp0-{F}(V7,V8,V3), P_line_connecting-{F}(V7,V8,V5), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V3), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V11,V1,V12), P_line_connecting-{F}(V1,V10,V12), distinct_points-{F}(V13,V11), P_line_connecting-{F}(V13,V11,V3), P_intersection_point-{F}(V12,V5,V14), distinct_points-{F}(V15,V14), distinct_points-{F}(V15,V16), P_line_connecting-{F}(V15,V16,V17), distinct_points-{F}(V15,V18), P_line_connecting-{F}(V15,V18,V19), distinct_points-{F}(V20,V14), distinct_points-{F}(V20,V21), P_line_connecting-{F}(V20,V21,V22), distinct_points-{F}(V20,V23), P_line_connecting-{F}(V20,V23,V19), distinct_points-{F}(V24,V10), P_line_connecting-{F}(V24,V10,V3), distinct_points-{F}(V10,V25), distinct_points-{F}(V26,V25), P_line_connecting-{F}(V26,V25,V3), distinct_points-{F}(V25,V27), P_line_connecting-{F}(V25,V27,V12), distinct_points-{F}(V28,V10), P_line_connecting-{F}(V28,V10,V3), pppp0-{F}(V7,V29,V17), P_line_connecting-{F}(V7,V29,V19), P_line_connecting-{F}(V7,V30,V19), pppp0-{F}(V7,V30,V31), P_line_connecting-{F}(V14,V32,V22), distinct_points-{F}(V33,V32), P_line_connecting-{F}(V33,V32,V17), P_line_connecting-{F}(V34,V14,V19), distinct_points-{F}(V35,V34), distinct_points-{F}(V35,V36), P_line_connecting-{F}(V35,V36,V5), distinct_points-{F}(V35,V37), P_line_connecting-{F}(V35,V37,V3), distinct_points-{F}(V38,V34), P_line_connecting-{F}(V38,V34,V3), distinct_points-{F}(V39,V40), P_line_connecting-{F}(V39,V40,V31), distinct_points-{F}(V40,V41), P_line_connecting-{F}(V40,V41,V22), distinct_points-{F}(V42,V40), distinct_points-{F}(V43,V42), P_line_connecting-{F}(V43,V42,V22), distinct_points-{F}(V44,V42), P_line_connecting-{F}(V44,V42,V31) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #500: exists( #22, #498 ), references = 2, size of lhs = 36:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), P_intersection_point-{F}(V7,V3,V1), pppp0-{F}(V8,V9,V5), P_line_connecting-{F}(V8,V9,V3), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V5), distinct_points-{F}(V11,V12), P_line_connecting-{F}(V11,V12,V13), distinct_points-{F}(V14,V11), distinct_points-{F}(V15,V14), P_line_connecting-{F}(V15,V14,V13), distinct_points-{F}(V16,V14), P_line_connecting-{F}(V16,V14,V5), distinct_points-{F}(V17,V18), P_line_connecting-{F}(V17,V18,V5), P_line_connecting-{F}(V18,V19,V13), distinct_points-{F}(V19,V20), P_line_connecting-{F}(V19,V20,V7), distinct_points-{F}(V19,V21), P_line_connecting-{F}(V19,V21,V7), distinct_points-{F}(V22,V18), distinct_points-{F}(V23,V22), P_line_connecting-{F}(V23,V22,V7), distinct_points-{F}(V24,V22), P_line_connecting-{F}(V24,V22,V5), distinct_points-{F}(V25,V19), distinct_points-{F}(V26,V25), P_line_connecting-{F}(V26,V25,V7), distinct_points-{F}(V27,V25), P_line_connecting-{F}(V27,V25,V13) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #520: mergings( V8 == V28; #518 ), references = 1, size of lhs = 44:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V6,V1,V5), pppp0-{F}(V7,V8,V3), P_line_connecting-{F}(V7,V8,V5), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V3), distinct_points-{F}(V10,V11), distinct_points-{F}(V12,V11), P_line_connecting-{F}(V12,V11,V13), distinct_points-{F}(V14,V10), P_line_connecting-{F}(V14,V10,V13), distinct_points-{F}(V10,V15), P_line_connecting-{F}(V11,V15,V16), distinct_points-{F}(V15,V17), P_line_connecting-{F}(V15,V17,V18), P_line_connecting-{F}(V1,V10,V18), distinct_points-{F}(V15,V19), P_line_connecting-{F}(V15,V19,V18), distinct_points-{F}(V20,V10), P_line_connecting-{F}(V20,V10,V16), pppp0-{F}(V7,V21,V13), P_line_connecting-{F}(V7,V21,V22), P_intersection_point-{F}(V18,V22,V23), distinct_points-{F}(V24,V23), distinct_points-{F}(V24,V25), P_line_connecting-{F}(V24,V25,V22), distinct_points-{F}(V24,V26), P_line_connecting-{F}(V24,V26,V13), distinct_points-{F}(V27,V23), P_line_connecting-{F}(V27,V23,V13), distinct_points-{F}(V28,V29), P_line_connecting-{F}(V28,V29,V13), distinct_points-{F}(V29,V30), P_line_connecting-{F}(V29,V30,V16), distinct_points-{F}(V31,V29), distinct_points-{F}(V32,V31), P_line_connecting-{F}(V32,V31,V16), distinct_points-{F}(V33,V31), P_line_connecting-{F}(V33,V31,V13) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #540: exists( #22, #538 ), references = 1, size of lhs = 36:
% 9.43/9.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V4), distinct_points-{F}(V7,V5), P_line_connecting-{F}(V7,V5,V2), pppp0-{F}(V8,V9,V2), P_line_connecting-{F}(V8,V9,V10), distinct_points-{F}(V11,V12), P_line_connecting-{F}(V11,V12,V2), P_line_connecting-{F}(V12,V13,V4), distinct_points-{F}(V13,V14), P_line_connecting-{F}(V13,V14,V15), distinct_points-{F}(V13,V16), P_line_connecting-{F}(V13,V16,V15), P_intersection_point-{F}(V10,V15,V17), distinct_points-{F}(V18,V17), distinct_points-{F}(V18,V19), P_line_connecting-{F}(V18,V19,V10), distinct_points-{F}(V18,V20), P_line_connecting-{F}(V18,V20,V2), distinct_points-{F}(V21,V17), P_line_connecting-{F}(V21,V17,V2), distinct_points-{F}(V22,V12), distinct_points-{F}(V23,V22), P_line_connecting-{F}(V23,V22,V15), distinct_points-{F}(V24,V22), P_line_connecting-{F}(V24,V22,V2), distinct_points-{F}(V25,V13), distinct_points-{F}(V26,V25), P_line_connecting-{F}(V26,V25,V15), distinct_points-{F}(V27,V25), P_line_connecting-{F}(V27,V25,V4) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #561: disj( #10, #6+#0, #6+#0 ), references = 1, size of lhs = 6:
% 9.43/9.60 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)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #562: disj( #10, #6+#0, #6+#80 ), references = 1, size of lhs = 17:
% 9.43/9.60 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}(V0,V7), P_line_connecting-{F}(V0,V7,V8), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V8), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V4), P_line_connecting-{F}(V10,V12,V6), distinct_points-{F}(V13,V12), P_line_connecting-{F}(V13,V12,V6), pppp0-{F}(V14,V15,V8), P_line_connecting-{F}(V14,V15,V6) | apart_point_and_line-{T}(V1,V3), apart_point_and_line-{T}(V1,V4)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #563: disj( #10, #6+#80, #6+#0 ), references = 1, size of lhs = 17:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V0,V6), P_line_connecting-{F}(V0,V6,V7), distinct_lines-{F}(V8,V7), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V5), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V8), P_line_connecting-{F}(V10,V12,V3), distinct_points-{F}(V13,V12), P_line_connecting-{F}(V13,V12,V3), pppp0-{F}(V14,V15,V5), P_line_connecting-{F}(V14,V15,V3) | apart_point_and_line-{T}(V1,V8), apart_point_and_line-{T}(V1,V7)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #566: disj( #552, #8+#0 ), references = 1, size of lhs = 8:
% 9.43/9.60 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), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V1) | apart_point_and_line-{T}(V1,V4)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #576: mergings( V3 == V7, V6 == V8; #573 ), references = 1, size of lhs = 6:
% 9.43/9.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V3), P_line_connecting-{F}(V0,V3,V4), pppp0-{F}(V0,V5,V4), P_line_connecting-{F}(V0,V5,V2) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #578: exists( #21, #573 ), references = 2, size of lhs = 4:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), pppp0-{F}(V0,V1,V3) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #580: disj( #3, exists( #21, #573 ) ), references = 1, size of lhs = 4:
% 9.43/9.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), pppp0-{F}(V1,V4,V3) | distinct_points-{T}(V0,V4)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #590: exists( #22, #584 ), references = 1, size of lhs = 5:
% 9.43/9.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V2), pppp0-{F}(V0,V3,V4), P_line_connecting-{F}(V0,V3,V5) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #593: exists( #21, #587 ), references = 1, size of lhs = 4:
% 9.43/9.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V2), pppp0-{F}(V0,V3,V4) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #596: exists( #16, #591 ), references = 1, size of lhs = 4:
% 9.43/9.60 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V3), P_line_connecting-{F}(V0,V3,V2) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #601: exists( #21, #597 ), references = 1, size of lhs = 1:
% 9.43/9.60 pppp1-{F}(V0,V1) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #604: exists( #15, #599 ), references = 1, size of lhs = 1:
% 9.43/9.60 pppp2-{F}(V0) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #607: exists( #14, #602 ), references = 1, size of lhs = 0:
% 9.43/9.60 FALSE | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 number of learnt formulas = 42
% 9.43/9.60
% 9.43/9.60
% 9.43/9.60 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/9.60
% 9.43/9.60 randbase = 1
%------------------------------------------------------------------------------