TSTP Solution File: GEO203+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 13.72s 13.91s
% Output : Refutation 13.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 17:55:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 13.72/13.91 GeoParameters:
% 13.72/13.91
% 13.72/13.91 tptp_input = 1
% 13.72/13.91 tptp_output = 0
% 13.72/13.91 nonempty = 1
% 13.72/13.91 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.72/13.91 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.72/13.91
% 13.72/13.91
% 13.72/13.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.72/13.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.72/13.91
% 13.72/13.91 RuleSystem INPUT:
% 13.72/13.91
% 13.72/13.91 Initial Rules:
% 13.72/13.91 #0: input, references = 30, size of lhs = 1:
% 13.72/13.91 distinct_points-{F}(V0,V0) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #1: input, references = 3, size of lhs = 1:
% 13.72/13.91 distinct_lines-{F}(V0,V0) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #2: input, references = 5, size of lhs = 1:
% 13.72/13.91 convergent_lines-{F}(V0,V0) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #3: input, references = 8, size of lhs = 2:
% 13.72/13.91 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #4: input, references = 5, size of lhs = 2:
% 13.72/13.91 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #5: input, references = 11, size of lhs = 2:
% 13.72/13.91 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #6: input, references = 9, size of lhs = 3:
% 13.72/13.91 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #7: input, references = 10, size of lhs = 3:
% 13.72/13.91 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #8: input, references = 12, size of lhs = 3:
% 13.72/13.91 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #9: input, references = 11, size of lhs = 3:
% 13.72/13.91 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #10: input, references = 7, size of lhs = 2:
% 13.72/13.91 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)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #11: input, references = 3, size of lhs = 2:
% 13.72/13.91 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #12: input, references = 3, size of lhs = 2:
% 13.72/13.91 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #13: input, references = 4, size of lhs = 1:
% 13.72/13.91 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #14: input, references = 4, size of lhs = 0:
% 13.72/13.91 FALSE | EXISTS V0: pppp2-{T}(V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #15: input, references = 4, size of lhs = 1:
% 13.72/13.91 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #16: input, references = 4, size of lhs = 2:
% 13.72/13.91 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V3,V2)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #17: input, references = 5, size of lhs = 2:
% 13.72/13.91 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #18: input, references = 4, size of lhs = 3:
% 13.72/13.91 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4) | distinct_lines-{T}(V4,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #19: input, references = 14, size of lhs = 3:
% 13.72/13.91 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4) | distinct_points-{T}(V3,V2)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #20: input, references = 6, size of lhs = 3:
% 13.72/13.91 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4) | convergent_lines-{T}(V0,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #21: input, references = 15, size of lhs = 2:
% 13.72/13.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #22: input, references = 8, size of lhs = 2:
% 13.72/13.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 number of initial rules = 23
% 13.72/13.91
% 13.72/13.91 Simplifiers:
% 13.72/13.91 #23: unsound, references = 3, size of lhs = 3:
% 13.72/13.91 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #24: unsound, references = 3, size of lhs = 3:
% 13.72/13.91 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #25: unsound, references = 3, size of lhs = 3:
% 13.72/13.91 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #26: unsound, references = 3, size of lhs = 3:
% 13.72/13.91 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #27: unsound, references = 3, size of lhs = 3:
% 13.72/13.91 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #28: unsound, references = 3, size of lhs = 3:
% 13.72/13.91 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #29: unsound, references = 3, size of lhs = 3:
% 13.72/13.91 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 number of simplifiers = 7
% 13.72/13.91
% 13.72/13.91 Learnt:
% 13.72/13.91 #32: exists( #22, #30 ), references = 1, size of lhs = 1:
% 13.72/13.91 pppp1-{F}(V0,V0) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #34: disj( #4, input ), references = 1, size of lhs = 1:
% 13.72/13.91 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #36: disj( #5, input ), references = 3, size of lhs = 1:
% 13.72/13.91 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #40: disj( #10, #7+#0, #7+#0 ), references = 1, size of lhs = 6:
% 13.72/13.91 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V1), distinct_points-{F}(V4,V3), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V1) | apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V4,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #43: disj( #39, #9+#0 ), references = 2, size of lhs = 8:
% 13.72/13.91 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V2) | apart_point_and_line-{T}(V1,V3)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #47: disj( #3, #42+#8+#0 ), references = 4, size of lhs = 10:
% 13.72/13.91 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), distinct_lines-{F}(V5,V4), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V6,V5,V7), distinct_points-{F}(V7,V3), P_line_connecting-{F}(V1,V7,V4), convergent_lines-{F}(V5,V8), P_intersection_point-{F}(V5,V8,V3) | distinct_points-{T}(V0,V7)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #54: disj( #3, #47+#0 ), references = 4, size of lhs = 8:
% 13.72/13.91 distinct_points-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V1), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V6), P_line_connecting-{F}(V1,V6,V4), P_line_connecting-{F}(V6,V1,V4) | distinct_points-{T}(V0,V6)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #59: disj( #3, #47+#0 ), references = 1, size of lhs = 10:
% 13.72/13.91 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), distinct_points-{F}(V5,V1), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V7,V5,V2), convergent_lines-{F}(V3,V8), P_intersection_point-{F}(V3,V8,V1) | distinct_points-{T}(V6,V7)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #66: disj( #3, #54+#0 ), references = 5, size of lhs = 8:
% 13.72/13.91 distinct_points-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), distinct_lines-{F}(V3,V5), P_line_connecting-{F}(V4,V1,V5), P_line_connecting-{F}(V1,V4,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V1) | distinct_points-{T}(V0,V4)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #68: disj( #3, input ), references = 14, size of lhs = 1:
% 13.72/13.91 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #72: disj( #10, #8+#0, #9+#0, #8+#0 ), references = 17, size of lhs = 8:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), distinct_points-{F}(V6,V3) | apart_point_and_line-{T}(V6,V1)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #81: mergings( V3 == V8, V7 == V9; #78 ), references = 1, size of lhs = 8:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), pppp0-{F}(V0,V5,V3), P_intersection_point-{F}(V0,V5,V6), P_line_connecting-{F}(V3,V6,V1) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #102: mergings( V3 == V12, V4 == V13; #99 ), references = 1, size of lhs = 14:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), pppp0-{F}(V0,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), P_line_connecting-{F}(V5,V3,V6), P_line_connecting-{F}(V3,V5,V6), P_intersection_point-{F}(V0,V1,V7), distinct_lines-{F}(V8,V6), convergent_lines-{F}(V9,V8), P_intersection_point-{F}(V9,V8,V5), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V3) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #104: exists( #22, #99 ), references = 2, size of lhs = 13:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), pppp0-{F}(V0,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), P_line_connecting-{F}(V5,V3,V6), P_line_connecting-{F}(V3,V5,V6), distinct_lines-{F}(V7,V6), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V5), convergent_lines-{F}(V7,V9), P_intersection_point-{F}(V7,V9,V3) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #106: disj( #5, exists( #22, #99 ) ), references = 2, size of lhs = 13:
% 13.72/13.91 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V5), pppp0-{F}(V2,V3,V5), P_intersection_point-{F}(V1,V3,V6), P_line_connecting-{F}(V6,V5,V7), P_line_connecting-{F}(V5,V6,V7), distinct_lines-{F}(V8,V7), convergent_lines-{F}(V9,V8), P_intersection_point-{F}(V9,V8,V6), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V5) | convergent_lines-{T}(V0,V3)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #115: exists( #21, #113 ), references = 1, size of lhs = 11:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), convergent_lines-{F}(V1,V7), P_intersection_point-{F}(V1,V7,V6), pppp0-{F}(V8,V9,V3), P_intersection_point-{F}(V8,V9,V6) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #121: exists( #21, #119 ), references = 1, size of lhs = 10:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), P_line_connecting-{F}(V6,V3,V1), pppp0-{F}(V7,V8,V6), P_intersection_point-{F}(V7,V8,V3) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #128: exists( #21, #126 ), references = 1, size of lhs = 12:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), convergent_lines-{F}(V7,V1), P_intersection_point-{F}(V7,V1,V8), P_line_connecting-{F}(V6,V8,V1), pppp0-{F}(V9,V10,V6), P_intersection_point-{F}(V9,V10,V3) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #135: disj( #5, #106+#2 ), references = 2, size of lhs = 13:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V4), pppp0-{F}(V0,V1,V4), P_intersection_point-{F}(V5,V1,V6), P_line_connecting-{F}(V6,V4,V7), P_line_connecting-{F}(V4,V6,V7), distinct_lines-{F}(V8,V7), convergent_lines-{F}(V9,V8), P_intersection_point-{F}(V9,V8,V6), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V4) | convergent_lines-{T}(V2,V5)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #136: disj( #5, #36+#104 ), references = 1, size of lhs = 13:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V4), pppp0-{F}(V0,V1,V4), P_intersection_point-{F}(V5,V1,V6), P_line_connecting-{F}(V6,V4,V7), P_line_connecting-{F}(V4,V6,V7), distinct_lines-{F}(V8,V7), convergent_lines-{F}(V9,V8), P_intersection_point-{F}(V9,V8,V6), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V4) | convergent_lines-{T}(V2,V5)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #151: exists( #21, #149 ), references = 1, size of lhs = 27:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), convergent_lines-{F}(V7,V1), P_intersection_point-{F}(V7,V1,V8), pppp0-{F}(V9,V10,V6), P_intersection_point-{F}(V9,V10,V3), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V13), distinct_lines-{F}(V12,V14), P_line_connecting-{F}(V13,V6,V14), P_line_connecting-{F}(V6,V13,V14), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V6), distinct_lines-{F}(V16,V17), convergent_lines-{F}(V16,V18), P_intersection_point-{F}(V16,V18,V13), convergent_lines-{F}(V19,V17), P_intersection_point-{F}(V19,V17,V13), convergent_lines-{F}(V16,V20), P_intersection_point-{F}(V16,V20,V8), convergent_lines-{F}(V21,V17), P_intersection_point-{F}(V21,V17,V8) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #176: mergings( V6 == V8; #174 ), references = 1, size of lhs = 22:
% 13.72/13.91 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V5), P_line_connecting-{F}(V2,V5,V3), P_line_connecting-{F}(V5,V2,V3), distinct_lines-{F}(V6,V3), convergent_lines-{F}(V7,V6), P_intersection_point-{F}(V7,V6,V2), convergent_lines-{F}(V6,V8), P_intersection_point-{F}(V6,V8,V5), pppp0-{F}(V9,V10,V5), P_intersection_point-{F}(V9,V10,V11), P_line_connecting-{F}(V2,V11,V12), distinct_lines-{F}(V13,V12), convergent_lines-{F}(V13,V14), P_intersection_point-{F}(V13,V14,V11), convergent_lines-{F}(V15,V12), P_intersection_point-{F}(V15,V12,V11), convergent_lines-{F}(V13,V16), P_intersection_point-{F}(V13,V16,V5) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #191: exists( #21, #189 ), references = 1, size of lhs = 17:
% 13.72/13.91 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V5), P_line_connecting-{F}(V2,V5,V3), P_line_connecting-{F}(V5,V2,V3), pppp0-{F}(V6,V7,V5), P_intersection_point-{F}(V6,V7,V8), P_line_connecting-{F}(V2,V8,V9), distinct_lines-{F}(V10,V9), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V5), convergent_lines-{F}(V12,V9), P_intersection_point-{F}(V12,V9,V5), convergent_lines-{F}(V10,V13), P_intersection_point-{F}(V10,V13,V8) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #221: exists( #21, #219 ), references = 1, size of lhs = 44:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), convergent_lines-{F}(V7,V1), P_intersection_point-{F}(V7,V1,V8), pppp0-{F}(V9,V10,V6), P_intersection_point-{F}(V9,V10,V3), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V6), convergent_lines-{F}(V14,V12), P_intersection_point-{F}(V14,V12,V6), convergent_lines-{F}(V11,V15), P_intersection_point-{F}(V11,V15,V3), convergent_lines-{F}(V12,V16), P_intersection_point-{F}(V12,V16,V17), P_line_connecting-{F}(V17,V3,V18), distinct_lines-{F}(V19,V18), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V8), convergent_lines-{F}(V21,V18), P_intersection_point-{F}(V21,V18,V8), convergent_lines-{F}(V19,V22), P_intersection_point-{F}(V19,V22,V17), convergent_lines-{F}(V23,V24), P_intersection_point-{F}(V23,V24,V25), distinct_lines-{F}(V24,V26), P_line_connecting-{F}(V25,V6,V26), P_line_connecting-{F}(V6,V25,V26), convergent_lines-{F}(V24,V27), P_intersection_point-{F}(V24,V27,V6), distinct_lines-{F}(V28,V29), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V25), convergent_lines-{F}(V31,V29), P_intersection_point-{F}(V31,V29,V25), convergent_lines-{F}(V28,V32), P_intersection_point-{F}(V28,V32,V8), convergent_lines-{F}(V33,V29), P_intersection_point-{F}(V33,V29,V17) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #223: disj( #5, exists( #21, #149 ) ), references = 1, size of lhs = 27:
% 13.72/13.91 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V4), convergent_lines-{F}(V6,V2), P_intersection_point-{F}(V6,V2,V7), P_intersection_point-{F}(V1,V8,V7), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V12), convergent_lines-{F}(V13,V10), P_intersection_point-{F}(V13,V10,V12), convergent_lines-{F}(V9,V14), P_intersection_point-{F}(V9,V14,V15), convergent_lines-{F}(V16,V10), P_intersection_point-{F}(V16,V10,V7), P_line_connecting-{F}(V4,V15,V17), P_line_connecting-{F}(V15,V4,V17), distinct_lines-{F}(V18,V17), convergent_lines-{F}(V19,V18), P_intersection_point-{F}(V19,V18,V4), convergent_lines-{F}(V18,V20), P_intersection_point-{F}(V18,V20,V15), pppp0-{F}(V21,V22,V15), P_intersection_point-{F}(V21,V22,V12) | convergent_lines-{T}(V0,V8)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #239: exists( #21, #237 ), references = 1, size of lhs = 12:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), convergent_lines-{F}(V1,V7), P_intersection_point-{F}(V1,V7,V8), P_line_connecting-{F}(V8,V6,V1), pppp0-{F}(V9,V10,V3), P_intersection_point-{F}(V9,V10,V6) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #282: disj( #5, #135+#36+#72+#6+#0 ), references = 1, size of lhs = 22:
% 13.72/13.91 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V2,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), pppp0-{F}(V2,V1,V4), distinct_lines-{F}(V5,V6), convergent_lines-{F}(V5,V7), P_intersection_point-{F}(V5,V7,V8), P_intersection_point-{F}(V9,V6,V8), P_intersection_point-{F}(V9,V1,V10), P_line_connecting-{F}(V10,V4,V11), P_line_connecting-{F}(V4,V10,V11), convergent_lines-{F}(V5,V12), P_intersection_point-{F}(V5,V12,V13), distinct_points-{F}(V13,V8), distinct_points-{F}(V13,V14), P_line_connecting-{F}(V13,V14,V6), distinct_lines-{F}(V15,V11), convergent_lines-{F}(V16,V15), P_intersection_point-{F}(V16,V15,V10), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V4) | convergent_lines-{T}(V0,V6)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #303: disj( #5, #13+#43+#8+#0 ), references = 1, size of lhs = 9:
% 13.72/13.91 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), distinct_points-{F}(V3,V4), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,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)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #312: disj( #5, #8+#72+#7+#0 ), references = 1, size of lhs = 10:
% 13.72/13.91 convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1), distinct_points-{F}(V3,V2), P_line_connecting-{F}(V3,V2,V4), distinct_lines-{F}(V5,V4), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V7), P_intersection_point-{F}(V1,V4,V7), convergent_lines-{F}(V5,V8), P_intersection_point-{F}(V5,V8,V2) | convergent_lines-{T}(V0,V4)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #321: disj( #5, #72+#7+#0 ), references = 1, size of lhs = 8:
% 13.72/13.91 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V5), distinct_points-{F}(V5,V3), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V2) | convergent_lines-{T}(V0,V2)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #326: disj( #4, #47+#0 ), references = 1, size of lhs = 10:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), distinct_points-{F}(V3,V4), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V6), distinct_points-{F}(V3,V7), P_line_connecting-{F}(V7,V3,V6), convergent_lines-{F}(V1,V8), P_intersection_point-{F}(V1,V8,V4) | distinct_lines-{T}(V0,V6)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #369: disj( #10, #8+#0, #8+#0, #8+#0 ), references = 1, size of lhs = 8:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V5), distinct_points-{F}(V5,V3), convergent_lines-{F}(V1,V6), P_intersection_point-{F}(V1,V6,V5) | apart_point_and_line-{T}(V3,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #411: disj( #10, #8+#0, #8+#0 ), references = 1, size of lhs = 6:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V5), distinct_points-{F}(V5,V3) | apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V5,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #414: disj( #410, #6+#0 ), references = 1, size of lhs = 8:
% 13.72/13.91 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V5), distinct_points-{F}(V5,V3), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V0) | apart_point_and_line-{T}(V3,V0)
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #422: mergings( V3 == V7, V6 == V8; #419 ), references = 1, size of lhs = 6:
% 13.72/13.91 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V4), pppp0-{F}(V0,V5,V2), P_intersection_point-{F}(V0,V5,V4) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #424: exists( #22, #419 ), references = 2, size of lhs = 4:
% 13.72/13.91 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V3), pppp0-{F}(V0,V3,V2) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #432: exists( #21, #426 ), references = 1, size of lhs = 5:
% 13.72/13.91 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V2), pppp0-{F}(V0,V3,V4), P_intersection_point-{F}(V0,V3,V5) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #435: exists( #22, #429 ), references = 1, size of lhs = 4:
% 13.72/13.91 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V2), pppp0-{F}(V0,V3,V4) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #438: exists( #16, #433 ), references = 1, size of lhs = 4:
% 13.72/13.91 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V2) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #443: exists( #22, #439 ), references = 1, size of lhs = 1:
% 13.72/13.91 pppp1-{F}(V0,V1) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #446: exists( #15, #441 ), references = 1, size of lhs = 1:
% 13.72/13.91 pppp2-{F}(V0) | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 #449: exists( #14, #444 ), references = 1, size of lhs = 0:
% 13.72/13.91 FALSE | FALSE
% 13.72/13.91 (used 0 times, uses = {})
% 13.72/13.91
% 13.72/13.91 number of learnt formulas = 42
% 13.72/13.91
% 13.72/13.91
% 13.72/13.91 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.72/13.91
% 13.72/13.91 randbase = 1
%------------------------------------------------------------------------------