TSTP Solution File: GEO183+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:01:55 EDT 2022
% Result : Theorem 0.91s 1.13s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 18:03:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.91/1.13 GeoParameters:
% 0.91/1.13
% 0.91/1.13 tptp_input = 1
% 0.91/1.13 tptp_output = 0
% 0.91/1.13 nonempty = 1
% 0.91/1.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.91/1.13
% 0.91/1.13
% 0.91/1.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.13
% 0.91/1.13 RuleSystem INPUT:
% 0.91/1.13
% 0.91/1.13 Initial Rules:
% 0.91/1.13 #0: input, references = 28, size of lhs = 1:
% 0.91/1.13 distinct_points-{F}(V0,V0) | FALSE
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #1: input, references = 4, size of lhs = 1:
% 0.91/1.13 distinct_lines-{F}(V0,V0) | FALSE
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #2: input, references = 3, size of lhs = 1:
% 0.91/1.13 convergent_lines-{F}(V0,V0) | FALSE
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #3: input, references = 11, size of lhs = 2:
% 0.91/1.13 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #4: input, references = 8, size of lhs = 2:
% 0.91/1.13 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #5: input, references = 7, size of lhs = 2:
% 0.91/1.13 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #6: input, references = 13, size of lhs = 3:
% 0.91/1.13 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #7: input, references = 10, size of lhs = 3:
% 0.91/1.13 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #8: input, references = 9, size of lhs = 3:
% 0.91/1.13 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #9: input, references = 4, size of lhs = 3:
% 0.91/1.13 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #10: input, references = 5, size of lhs = 2:
% 0.91/1.13 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)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #11: input, references = 3, size of lhs = 2:
% 0.91/1.13 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #12: input, references = 4, size of lhs = 2:
% 0.91/1.13 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #13: input, references = 4, size of lhs = 1:
% 0.91/1.13 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #14: input, references = 4, size of lhs = 0:
% 0.91/1.13 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #15: input, references = 4, size of lhs = 1:
% 0.91/1.13 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #16: input, references = 3, size of lhs = 1:
% 0.91/1.13 pppp3-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #17: input, references = 4, size of lhs = 1:
% 0.91/1.13 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V2,V1,V0)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #18: input, references = 7, size of lhs = 2:
% 0.91/1.13 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | apart_point_and_line-{T}(V0,V2), apart_point_and_line-{T}(V1,V2)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #19: input, references = 5, size of lhs = 3:
% 0.91/1.13 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V2,V3) | FALSE
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #20: input, references = 14, size of lhs = 2:
% 0.91/1.13 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_points-{T}(V0,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #21: input, references = 3, size of lhs = 1:
% 0.91/1.13 pppp0-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.91/1.13 (used 0 times, uses = {})
% 0.91/1.13
% 0.91/1.13 #22: input, references = 16, size of lhs = 2:
% 0.91/1.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #23: input, references = 3, size of lhs = 2:
% 0.91/1.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 number of initial rules = 24
% 0.91/1.14
% 0.91/1.14 Simplifiers:
% 0.91/1.14 #24: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #25: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #26: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #27: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #28: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #29: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V2), V1 == V4 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #30: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #31: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #32: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #33: unsound, references = 3, size of lhs = 3:
% 0.91/1.14 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 number of simplifiers = 10
% 0.91/1.14
% 0.91/1.14 Learnt:
% 0.91/1.14 #35: disj( #4, input ), references = 3, size of lhs = 1:
% 0.91/1.14 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #37: disj( #3, input ), references = 24, size of lhs = 1:
% 0.91/1.14 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #40: disj( #18, #6+#0 ), references = 3, size of lhs = 4:
% 0.91/1.14 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V0,V3,V2), P_line_connecting-{F}(V0,V3,V4) | apart_point_and_line-{T}(V3,V2)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #47: disj( #3, #40+#8+#0 ), references = 1, size of lhs = 6:
% 0.91/1.14 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V2,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), pppp1-{F}(V0,V5,V3), P_line_connecting-{F}(V0,V5,V6) | distinct_points-{T}(V1,V2)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #50: disj( #18, #8+#0 ), references = 2, size of lhs = 4:
% 0.91/1.14 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp1-{F}(V3,V2,V0), P_line_connecting-{F}(V3,V2,V4) | apart_point_and_line-{T}(V3,V0)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #53: disj( #4, input ), references = 6, size of lhs = 3:
% 0.91/1.14 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V3,V0), P_line_connecting-{F}(V2,V3,V4) | distinct_lines-{T}(V1,V4)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #58: disj( #10, #7+#0, #6+#0, #7+#0 ), references = 7, size of lhs = 8:
% 0.91/1.14 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V1,V4), P_line_connecting-{F}(V1,V4,V3), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V3) | apart_point_and_line-{T}(V5,V2)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #66: mergings( V3 == V5; #64 ), references = 3, size of lhs = 3:
% 0.91/1.14 distinct_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V1), pppp1-{F}(V3,V2,V0) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #76: mergings( V3 == V5; #74 ), references = 1, size of lhs = 4:
% 0.91/1.14 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_line_connecting-{F}(V2,V3,V0), pppp1-{F}(V3,V2,V0) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #79: mergings( V1 == V5; #77 ), references = 1, size of lhs = 4:
% 0.91/1.14 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V2,V3), P_line_connecting-{F}(V3,V4,V0), pppp1-{F}(V4,V3,V0) | convergent_lines-{T}(V1,V2)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #84: disj( #5, input ), references = 1, size of lhs = 1:
% 0.91/1.14 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #91: disj( #3, #40+#6+#0 ), references = 1, size of lhs = 6:
% 0.91/1.14 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V2,V3), pppp1-{F}(V0,V4,V3), P_line_connecting-{F}(V0,V4,V5), distinct_points-{F}(V4,V6), P_line_connecting-{F}(V4,V6,V3) | distinct_points-{T}(V1,V2)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #103: disj( #3, #37+#58+#6+#58+#7+#0 ), references = 2, size of lhs = 15:
% 0.91/1.14 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V2,V1,V3), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V1,V5,V4), distinct_points-{F}(V6,V1), distinct_points-{F}(V1,V7), distinct_points-{F}(V7,V8), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V5,V7,V9), P_line_connecting-{F}(V5,V1,V9), distinct_lines-{F}(V9,V10), P_line_connecting-{F}(V6,V1,V10), distinct_points-{F}(V7,V11), P_line_connecting-{F}(V7,V11,V10) | distinct_points-{T}(V0,V5)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #118: mergings( V3 == V5, V5 == V8; #115 ), references = 2, size of lhs = 6:
% 0.91/1.14 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V0,V2), P_line_connecting-{F}(V3,V4,V1), P_line_connecting-{F}(V3,V5,V1), P_line_connecting-{F}(V5,V3,V2), pppp1-{F}(V4,V5,V0) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #122: mergings( V1 == V3, V3 == V7; #119 ), references = 1, size of lhs = 6:
% 0.91/1.14 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V0,V2), pppp1-{F}(V3,V4,V0), P_line_connecting-{F}(V5,V3,V2), P_line_connecting-{F}(V5,V4,V2), P_line_connecting-{F}(V4,V5,V6) | distinct_lines-{T}(V1,V6)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #131: mergings( V5 == V7; #129 ), references = 2, size of lhs = 8:
% 0.91/1.14 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V2,V1,V4), P_line_connecting-{F}(V2,V5,V4), distinct_lines-{F}(V4,V6), distinct_lines-{F}(V6,V3), P_line_connecting-{F}(V5,V1,V6) | distinct_points-{T}(V0,V5)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #148: mergings( V5 == V8, V3 == V6; #145 ), references = 1, size of lhs = 8:
% 0.91/1.14 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V2,V1), distinct_lines-{F}(V2,V3), pppp1-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V4,V2), P_line_connecting-{F}(V6,V4,V1), P_line_connecting-{F}(V5,V6,V2), P_line_connecting-{F}(V6,V5,V3) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #151: disj( #5, #13+#118 ), references = 1, size of lhs = 6:
% 0.91/1.14 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V0,V2), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V3,V5,V2), pppp1-{F}(V4,V5,V0), P_line_connecting-{F}(V5,V3,V6) | convergent_lines-{T}(V1,V6)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #153: disj( #4, mergings( V3 == V5; #64 ) ), references = 1, size of lhs = 3:
% 0.91/1.14 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V2,V4) | distinct_lines-{T}(V1,V4)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #169: disj( #3, #37+#58+#6+#37+#7+#0 ), references = 4, size of lhs = 9:
% 0.91/1.14 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V3), distinct_lines-{F}(V6,V3), P_line_connecting-{F}(V7,V4,V6), P_line_connecting-{F}(V7,V1,V6) | distinct_points-{T}(V0,V7)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #184: mergings( V5 == V7, V6 == V8; #181 ), references = 1, size of lhs = 7:
% 0.91/1.14 P_line_connecting-{F}(V0,V0,V1), P_line_connecting-{F}(V0,V2,V1), distinct_lines-{F}(V1,V3), P_line_connecting-{F}(V2,V0,V3), P_line_connecting-{F}(V2,V4,V3), pppp1-{F}(V4,V0,V5), distinct_lines-{F}(V5,V3) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #193: disj( #3, #37+#169+#0 ), references = 2, size of lhs = 6:
% 0.91/1.14 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V0,V5,V3), P_line_connecting-{F}(V1,V5,V4) | distinct_points-{T}(V2,V5)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #200: disj( #10, #7+#0, #9+#0, #9+#0 ), references = 5, size of lhs = 8:
% 0.91/1.14 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V5), distinct_points-{F}(V5,V1), convergent_lines-{F}(V6,V3), P_intersection_point-{F}(V6,V3,V5) | apart_point_and_line-{T}(V1,V3)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #205: disj( #18, #8+#37+#193+#0 ), references = 1, size of lhs = 8:
% 0.91/1.14 P_line_connecting-{F}(V0,V0,V1), distinct_lines-{F}(V1,V2), P_line_connecting-{F}(V0,V3,V1), P_line_connecting-{F}(V3,V0,V2), pppp1-{F}(V4,V0,V5), P_line_connecting-{F}(V4,V0,V6), convergent_lines-{F}(V5,V7), P_intersection_point-{F}(V5,V7,V3) | apart_point_and_line-{T}(V4,V5)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #214: disj( #5, #8+#0 ), references = 1, size of lhs = 3:
% 0.91/1.14 convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1), P_intersection_point-{F}(V1,V3,V2) | convergent_lines-{T}(V0,V3)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #219: disj( #12, #6+#0 ), references = 5, size of lhs = 3:
% 0.91/1.14 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #225: mergings( V8 == V6; #223 ), references = 2, size of lhs = 7:
% 0.91/1.14 P_line_connecting-{F}(V0,V0,V1), distinct_lines-{F}(V1,V2), P_line_connecting-{F}(V0,V3,V1), P_line_connecting-{F}(V3,V0,V2), pppp1-{F}(V4,V0,V5), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #230: disj( #4, #35+#225 ), references = 1, size of lhs = 7:
% 0.91/1.14 distinct_lines-{F}(V0,V1), P_line_connecting-{F}(V2,V2,V3), P_line_connecting-{F}(V2,V4,V3), P_line_connecting-{F}(V4,V2,V1), pppp1-{F}(V5,V2,V6), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V4) | distinct_lines-{T}(V0,V3)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #233: exists( #22, #231 ), references = 1, size of lhs = 1:
% 0.91/1.14 pppp1-{F}(V0,V0,V1) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #250: disj( #3, #37+#200+#219+#1 ), references = 1, size of lhs = 9:
% 0.91/1.14 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), P_line_connecting-{F}(V5,V1,V6), distinct_lines-{F}(V6,V3), convergent_lines-{F}(V7,V6), P_intersection_point-{F}(V7,V6,V5) | distinct_points-{T}(V0,V5)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #251: disj( #3, #37+#200+#219+#66 ), references = 2, size of lhs = 11:
% 0.91/1.14 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), convergent_lines-{F}(V4,V5), distinct_lines-{F}(V5,V6), P_intersection_point-{F}(V4,V5,V7), P_line_connecting-{F}(V7,V1,V5), convergent_lines-{F}(V8,V6), P_intersection_point-{F}(V8,V6,V7), P_line_connecting-{F}(V9,V10,V3), pppp1-{F}(V10,V9,V6) | distinct_points-{T}(V0,V7)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #267: mergings( V4 == V9; #264 ), references = 1, size of lhs = 15:
% 0.91/1.14 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V2), convergent_lines-{F}(V5,V3), P_intersection_point-{F}(V5,V3,V2), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_line_connecting-{F}(V8,V7,V1), P_line_connecting-{F}(V2,V8,V9), distinct_lines-{F}(V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V2), pppp1-{F}(V7,V8,V11) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #278: mergings( V13 == V5, V1 == V15, V0 == V16; #274 ), references = 1, size of lhs = 16:
% 0.91/1.14 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V4,V1), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V3), pppp1-{F}(V6,V4,V2), P_line_connecting-{F}(V3,V6,V7), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V3), distinct_lines-{F}(V7,V9), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V3), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V6), P_line_connecting-{F}(V4,V6,V12) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #281: mergings( V5 == V13; #279 ), references = 1, size of lhs = 15:
% 0.91/1.14 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V4,V1), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V3), pppp1-{F}(V6,V4,V2), P_line_connecting-{F}(V3,V6,V7), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V3), distinct_lines-{F}(V7,V9), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V3), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V6) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #292: mergings( V1 == V7, V0 == V6, V3 == V5; #287 ), references = 2, size of lhs = 4:
% 0.91/1.14 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V3,V2), pppp1-{F}(V0,V3,V4) | apart_point_and_line-{T}(V3,V4)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #293: disj( #18, #7+#0 ), references = 1, size of lhs = 4:
% 0.91/1.14 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V1,V3,V2), P_line_connecting-{F}(V1,V3,V4) | apart_point_and_line-{T}(V3,V2)
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #300: mergings( V3 == V4; #298 ), references = 1, size of lhs = 2:
% 0.91/1.14 P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V1,V0,V2) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #313: mergings( V1 == V6, V0 == V7, V3 == V5; #309 ), references = 1, size of lhs = 2:
% 0.91/1.14 P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V1,V0,V3) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #316: mergings( V3 == V4; #314 ), references = 1, size of lhs = 1:
% 0.91/1.14 pppp1-{F}(V0,V1,V2) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #318: exists( #17, #314 ), references = 1, size of lhs = 1:
% 0.91/1.14 pppp2-{F}(V0,V1) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #320: exists( #15, #317 ), references = 1, size of lhs = 1:
% 0.91/1.14 pppp3-{F}(V0) | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 #322: exists( #14, #319 ), references = 1, size of lhs = 0:
% 0.91/1.14 FALSE | FALSE
% 0.91/1.14 (used 0 times, uses = {})
% 0.91/1.14
% 0.91/1.14 number of learnt formulas = 42
% 0.91/1.14
% 0.91/1.14
% 0.91/1.14 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.14
% 0.91/1.14 randbase = 1
%------------------------------------------------------------------------------