%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO209+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:02:05 EDT 2022
% Result : Theorem 5.23s 5.39s
% Output : Refutation 5.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO209+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n003.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 18:23:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 5.23/5.39 GeoParameters:
% 5.23/5.39
% 5.23/5.39 tptp_input = 1
% 5.23/5.39 tptp_output = 0
% 5.23/5.39 nonempty = 1
% 5.23/5.39 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.23/5.39 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.23/5.39
% 5.23/5.39
% 5.23/5.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.23/5.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.23/5.39
% 5.23/5.39 RuleSystem INPUT:
% 5.23/5.39
% 5.23/5.39 Initial Rules:
% 5.23/5.39 #0: input, references = 3, size of lhs = 1:
% 5.23/5.39 distinct_points-{F}(V0,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #1: input, references = 7, size of lhs = 1:
% 5.23/5.39 distinct_lines-{F}(V0,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #2: input, references = 4, size of lhs = 1:
% 5.23/5.39 convergent_lines-{F}(V0,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #3: input, references = 3, size of lhs = 2:
% 5.23/5.39 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #4: input, references = 7, size of lhs = 2:
% 5.23/5.39 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #5: input, references = 4, size of lhs = 2:
% 5.23/5.39 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #6: input, references = 4, size of lhs = 3:
% 5.23/5.39 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #7: input, references = 6, size of lhs = 3:
% 5.23/5.39 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #8: input, references = 7, size of lhs = 3:
% 5.23/5.39 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #9: input, references = 5, size of lhs = 3:
% 5.23/5.39 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #10: input, references = 3, size of lhs = 2:
% 5.23/5.39 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)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #11: input, references = 7, size of lhs = 2:
% 5.23/5.39 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #12: input, references = 7, size of lhs = 2:
% 5.23/5.39 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #13: input, references = 3, size of lhs = 2:
% 5.23/5.39 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #14: input, references = 10, size of lhs = 2:
% 5.23/5.39 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #15: input, references = 4, size of lhs = 2:
% 5.23/5.39 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #16: input, references = 29, size of lhs = 2:
% 5.23/5.39 distinct_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #17: input, references = 4, size of lhs = 0:
% 5.23/5.39 FALSE | EXISTS V0: pppp3-{T}(V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #18: input, references = 4, size of lhs = 1:
% 5.23/5.39 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #19: input, references = 6, size of lhs = 1:
% 5.23/5.39 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V2,V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #20: input, references = 4, size of lhs = 1:
% 5.23/5.39 pppp2-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #21: input, references = 19, size of lhs = 1:
% 5.23/5.39 pppp1-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V3,V0,V1,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #22: input, references = 3, size of lhs = 2:
% 5.23/5.39 pppp1-{F}(V0,V1,V2), convergent_lines-{F}(V2,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #23: input, references = 7, size of lhs = 2:
% 5.23/5.39 pppp1-{F}(V0,V1,V2), convergent_lines-{F}(V1,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #24: input, references = 4, size of lhs = 2:
% 5.23/5.39 pppp0-{F}(V0,V1,V2,V3), apart_point_and_line-{F}(V0,V3) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #25: input, references = 7, size of lhs = 2:
% 5.23/5.39 pppp0-{F}(V0,V1,V2,V3), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #26: input, references = 14, size of lhs = 1:
% 5.23/5.39 pppp0-{F}(V0,V1,V2,V3) | apart_point_and_line-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #27: input, references = 3, size of lhs = 2:
% 5.23/5.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #28: input, references = 8, size of lhs = 2:
% 5.23/5.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #29: input, references = 3, size of lhs = 2:
% 5.23/5.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 number of initial rules = 30
% 5.23/5.39
% 5.23/5.39 Simplifiers:
% 5.23/5.39 #30: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #31: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #32: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #33: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #34: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #35: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #36: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #37: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #38: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V5), V2 == V5 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #39: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V1 == V4 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #40: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #41: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #42: unsound, references = 3, size of lhs = 3:
% 5.23/5.39 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 number of simplifiers = 13
% 5.23/5.39
% 5.23/5.39 Learnt:
% 5.23/5.39 #44: disj( #4, input ), references = 2, size of lhs = 1:
% 5.23/5.39 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #46: disj( #16, input, input ), references = 10, size of lhs = 3:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #49: disj( #16, input, input ), references = 8, size of lhs = 3:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V0) | apart_point_and_line-{T}(V4,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #52: disj( #4, #46+#8 ), references = 1, size of lhs = 5:
% 5.23/5.39 distinct_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1), P_intersection_point-{F}(V1,V3,V2), P_parallel_through_point-{F}(V4,V5,V1), P_parallel_through_point-{F}(V6,V5,V3) | distinct_lines-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #77: disj( #4, #46+#14 ), references = 11, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V1) | distinct_lines-{T}(V0,V5)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #82: disj( #4, #77+#1 ), references = 1, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V0,V2,V3), P_parallel_through_point-{F}(V4,V5,V3), P_parallel_through_point-{F}(V6,V5,V0) | distinct_lines-{T}(V1,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #87: disj( #11, input ), references = 5, size of lhs = 2:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #91: exists( #21, #89 ), references = 1, size of lhs = 1:
% 5.23/5.39 pppp1-{F}(V0,V0,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #101: disj( #16, input, input ), references = 1, size of lhs = 4:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V1) | apart_point_and_line-{T}(V4,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #102: disj( #16, input, input ), references = 3, size of lhs = 5:
% 5.23/5.39 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), apart_point_and_line-{F}(V3,V1), P_intersection_point-{F}(V0,V1,V4) | apart_point_and_line-{T}(V4,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #107: exists( #21, #105 ), references = 1, size of lhs = 1:
% 5.23/5.39 pppp1-{F}(V0,V1,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #111: disj( #12, input ), references = 18, size of lhs = 2:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), pppp0-{F}(V0,V2,V3,V4) | distinct_lines-{T}(V1,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #118: mergings( V2 == V7; #116 ), references = 1, size of lhs = 3:
% 5.23/5.39 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), pppp1-{F}(V2,V4,V5) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #121: disj( #16, input, input ), references = 5, size of lhs = 3:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), pppp0-{F}(V3,V4,V5,V1) | apart_point_and_line-{T}(V3,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #122: disj( #16, input, input ), references = 4, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V1), pppp0-{F}(V3,V4,V5,V1) | apart_point_and_line-{T}(V3,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #125: exists( #21, #123 ), references = 1, size of lhs = 3:
% 5.23/5.39 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1), P_parallel_through_point-{F}(V1,V3,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #127: exists( #19, #124 ), references = 1, size of lhs = 3:
% 5.23/5.39 pppp2-{F}(V0,V1), distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #130: disj( #16, input, input ), references = 1, size of lhs = 5:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), apart_point_and_line-{F}(V4,V3) | apart_point_and_line-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #133: exists( #21, #131 ), references = 2, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1), P_intersection_point-{F}(V0,V1,V3), apart_point_and_line-{F}(V3,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #137: disj( #16, input, input ), references = 1, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V1), P_parallel_through_point-{F}(V3,V4,V0) | apart_point_and_line-{T}(V4,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #141: disj( #16, input, exists( #21, #131 ) ), references = 1, size of lhs = 6:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V1), distinct_lines-{F}(V3,V1), pppp1-{F}(V4,V3,V1), P_intersection_point-{F}(V3,V1,V5) | apart_point_and_line-{T}(V5,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #144: exists( #28, #142 ), references = 1, size of lhs = 4:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V0), convergent_lines-{F}(V2,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #146: disj( #16, exists( #28, #142 ), exists( #21, #131 ) ), references = 2, size of lhs = 7:
% 5.23/5.39 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1), P_intersection_point-{F}(V0,V1,V3), distinct_lines-{F}(V4,V1), distinct_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V3), convergent_lines-{F}(V5,V4) | convergent_lines-{T}(V4,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #159: exists( #21, #153 ), references = 1, size of lhs = 7:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V1), P_parallel_through_point-{F}(V0,V3,V4), pppp1-{F}(V5,V4,V1), P_parallel_through_point-{F}(V6,V7,V4), P_parallel_through_point-{F}(V8,V7,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #160: exists( #21, #154 ), references = 1, size of lhs = 7:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V0), P_parallel_through_point-{F}(V3,V4,V2), P_parallel_through_point-{F}(V5,V4,V6), pppp1-{F}(V7,V6,V1), P_parallel_through_point-{F}(V6,V8,V2) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #164: disj( #16, input, exists( #21, #153 ) ), references = 1, size of lhs = 8:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), P_parallel_through_point-{F}(V4,V3,V0), P_parallel_through_point-{F}(V2,V5,V6), pppp1-{F}(V7,V6,V1), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V9,V2) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #165: disj( #16, input, exists( #21, #154 ) ), references = 1, size of lhs = 8:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), P_parallel_through_point-{F}(V4,V3,V0), P_parallel_through_point-{F}(V5,V6,V2), P_parallel_through_point-{F}(V7,V6,V8), pppp1-{F}(V9,V8,V1), P_parallel_through_point-{F}(V8,V10,V2) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #166: disj( #16, input, input ), references = 1, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_parallel_through_point-{F}(V4,V3,V0) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #188: disj( #5, input ), references = 5, size of lhs = 2:
% 5.23/5.39 convergent_lines-{F}(V0,V1), pppp1-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #189: disj( #5, input ), references = 2, size of lhs = 3:
% 5.23/5.39 convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1), P_intersection_point-{F}(V1,V3,V2) | convergent_lines-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #190: disj( #5, input ), references = 6, size of lhs = 3:
% 5.23/5.39 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V1,V2,V3), apart_point_and_line-{F}(V3,V2) | convergent_lines-{T}(V0,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #201: mergings( V1 == V6, V3 == V4, V5 == V0; #197 ), references = 4, size of lhs = 3:
% 5.23/5.39 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), pppp1-{F}(V2,V0,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #206: mergings( V0 == V6, V3 == V4, V5 == V1; #202 ), references = 1, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V0), pppp1-{F}(V2,V0,V1), P_parallel_through_point-{F}(V3,V4,V0) | apart_point_and_line-{T}(V4,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #212: disj( #16, #190+#201, input ), references = 1, size of lhs = 6:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V3,V1,V0), pppp1-{F}(V4,V1,V2), P_parallel_through_point-{F}(V5,V6,V3) | apart_point_and_line-{T}(V6,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #213: disj( #16, #190+#201, input ), references = 1, size of lhs = 7:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V3,V1,V0), pppp1-{F}(V4,V1,V2), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V6) | apart_point_and_line-{T}(V6,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #238: exists( #21, #232 ), references = 1, size of lhs = 6:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V0,V3,V4), pppp1-{F}(V5,V4,V1), P_parallel_through_point-{F}(V6,V7,V4), P_parallel_through_point-{F}(V8,V7,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #239: exists( #21, #233 ), references = 1, size of lhs = 6:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V5,V4,V6), pppp1-{F}(V7,V6,V1), P_parallel_through_point-{F}(V6,V8,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #240: exists( #21, #234 ), references = 1, size of lhs = 7:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), P_intersection_point-{F}(V2,V1,V0), distinct_lines-{F}(V2,V3), pppp1-{F}(V4,V1,V3), P_parallel_through_point-{F}(V3,V5,V2), P_parallel_through_point-{F}(V6,V7,V2), P_parallel_through_point-{F}(V8,V7,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #244: disj( #16, input, input ), references = 4, size of lhs = 4:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), P_parallel_through_point-{F}(V4,V1,V3) | convergent_lines-{T}(V2,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #245: disj( #16, input, exists( #21, #153 ) ), references = 1, size of lhs = 9:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V1), P_parallel_through_point-{F}(V4,V5,V6), pppp1-{F}(V7,V6,V3), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V9,V4) | convergent_lines-{T}(V2,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #246: disj( #16, input, exists( #21, #154 ) ), references = 1, size of lhs = 9:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V1), P_parallel_through_point-{F}(V5,V6,V4), P_parallel_through_point-{F}(V7,V6,V8), pppp1-{F}(V9,V8,V3), P_parallel_through_point-{F}(V8,V10,V4) | convergent_lines-{T}(V2,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #260: exists( #21, #258 ), references = 1, size of lhs = 5:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), pppp1-{F}(V2,V4,V5), P_parallel_through_point-{F}(V4,V6,V2) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #273: disj( #16, input, input ), references = 1, size of lhs = 5:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), P_intersection_point-{F}(V3,V2,V4), apart_point_and_line-{F}(V4,V3) | apart_point_and_line-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #280: disj( #16, #190+#201, input ), references = 1, size of lhs = 7:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), distinct_lines-{F}(V4,V3), P_intersection_point-{F}(V2,V4,V5), apart_point_and_line-{F}(V5,V4), pppp1-{F}(V6,V4,V3) | apart_point_and_line-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #281: disj( #16, #190+#8, input ), references = 1, size of lhs = 7:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), apart_point_and_line-{F}(V4,V3), P_intersection_point-{F}(V3,V5,V4), P_intersection_point-{F}(V2,V5,V6), apart_point_and_line-{F}(V6,V5) | apart_point_and_line-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #289: exists( #21, #287 ), references = 1, size of lhs = 8:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V4,V5,V2), P_parallel_through_point-{F}(V6,V7,V4), P_parallel_through_point-{F}(V8,V7,V9), pppp1-{F}(V2,V9,V10), P_parallel_through_point-{F}(V4,V11,V9) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #295: disj( #16, exists( #28, #142 ), exists( #21, #131 ) ), references = 1, size of lhs = 7:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V1,V2,V3), apart_point_and_line-{F}(V3,V1), pppp1-{F}(V4,V0,V1), P_intersection_point-{F}(V0,V1,V5) | apart_point_and_line-{T}(V5,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #296: disj( #16, exists( #28, #142 ), exists( #21, #153 ) ), references = 1, size of lhs = 10:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V0), P_intersection_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V2,V1), distinct_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V3,V5,V6), pppp1-{F}(V7,V6,V1), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V9,V3) | apart_point_and_line-{T}(V4,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #297: disj( #16, exists( #28, #142 ), exists( #21, #154 ) ), references = 1, size of lhs = 10:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V0), P_intersection_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V2,V1), distinct_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V5,V6,V3), P_parallel_through_point-{F}(V7,V6,V8), pppp1-{F}(V9,V8,V1), P_parallel_through_point-{F}(V8,V10,V3) | apart_point_and_line-{T}(V4,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #317: disj( #11, exists( #21, #131 ) ), references = 1, size of lhs = 4:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V2,V1), pppp1-{F}(V3,V2,V1), P_intersection_point-{F}(V2,V1,V4) | distinct_points-{T}(V0,V4)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #318: disj( #11, exists( #21, #153 ) ), references = 1, size of lhs = 7:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), P_parallel_through_point-{F}(V2,V4,V5), pppp1-{F}(V6,V5,V1), P_parallel_through_point-{F}(V7,V8,V5), P_parallel_through_point-{F}(V9,V8,V2) | distinct_points-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #319: disj( #11, exists( #21, #154 ) ), references = 1, size of lhs = 7:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), P_parallel_through_point-{F}(V4,V5,V2), P_parallel_through_point-{F}(V6,V5,V7), pppp1-{F}(V8,V7,V1), P_parallel_through_point-{F}(V7,V9,V2) | distinct_points-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #341: mergings( V10 == V1, V9 == V2; #338 ), references = 1, size of lhs = 9:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), apart_point_and_line-{F}(V5,V4), P_intersection_point-{F}(V4,V6,V5), pppp1-{F}(V2,V7,V6), P_parallel_through_point-{F}(V4,V8,V7), P_parallel_through_point-{F}(V9,V10,V4), P_parallel_through_point-{F}(V11,V10,V7) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #353: mergings( V8 == V15, V7 == V1, V5 == V16; #347 ), references = 1, size of lhs = 14:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), distinct_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), distinct_lines-{F}(V7,V5), P_intersection_point-{F}(V7,V5,V6), pppp1-{F}(V2,V8,V5), P_parallel_through_point-{F}(V4,V9,V8), P_parallel_through_point-{F}(V7,V10,V8), P_parallel_through_point-{F}(V11,V12,V4), P_parallel_through_point-{F}(V13,V12,V8), P_parallel_through_point-{F}(V14,V15,V8), P_parallel_through_point-{F}(V16,V15,V7) | convergent_lines-{T}(V4,V5)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #357: mergings( V8 == V17, V7 == V1, V5 == V18; #348 ), references = 1, size of lhs = 14:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), distinct_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), distinct_lines-{F}(V7,V5), P_intersection_point-{F}(V7,V5,V6), pppp1-{F}(V2,V8,V5), P_parallel_through_point-{F}(V4,V9,V8), P_parallel_through_point-{F}(V8,V10,V7), P_parallel_through_point-{F}(V11,V12,V4), P_parallel_through_point-{F}(V13,V12,V8), P_parallel_through_point-{F}(V14,V15,V7), P_parallel_through_point-{F}(V16,V15,V8) | convergent_lines-{T}(V4,V5)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #373: mergings( V4 == V8, V5 == V9; #369 ), references = 1, size of lhs = 10:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V3,V1,V0), pppp1-{F}(V4,V1,V2), distinct_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V6), P_parallel_through_point-{F}(V5,V7,V1), P_parallel_through_point-{F}(V8,V9,V1), P_parallel_through_point-{F}(V10,V9,V5) | apart_point_and_line-{T}(V6,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #376: mergings( V4 == V10, V5 == V11; #370 ), references = 1, size of lhs = 10:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V3,V1,V0), pppp1-{F}(V4,V1,V2), distinct_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V6), P_parallel_through_point-{F}(V1,V7,V5), P_parallel_through_point-{F}(V8,V9,V5), P_parallel_through_point-{F}(V10,V9,V1) | apart_point_and_line-{T}(V6,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #378: disj( #16, input, input ), references = 4, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V0), pppp0-{F}(V3,V4,V5,V1) | apart_point_and_line-{T}(V3,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #381: exists( #21, #379 ), references = 2, size of lhs = 4:
% 5.23/5.39 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1), P_intersection_point-{F}(V0,V1,V3), apart_point_and_line-{F}(V3,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #394: exists( #21, #388 ), references = 1, size of lhs = 7:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V1,V3,V4), pppp1-{F}(V5,V4,V2), P_parallel_through_point-{F}(V6,V7,V4), P_parallel_through_point-{F}(V8,V7,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #395: exists( #21, #389 ), references = 1, size of lhs = 8:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V0), apart_point_and_line-{F}(V3,V1), P_intersection_point-{F}(V1,V4,V3), pppp1-{F}(V5,V4,V2), P_parallel_through_point-{F}(V6,V7,V1), P_parallel_through_point-{F}(V8,V7,V4) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #396: exists( #21, #390 ), references = 1, size of lhs = 8:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V1), P_parallel_through_point-{F}(V5,V4,V6), pppp1-{F}(V7,V6,V2), P_intersection_point-{F}(V1,V6,V8), apart_point_and_line-{F}(V8,V6) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #406: mergings( V4 == V7, V5 == V8, V7 == V13, V8 == V14; #400 ), references = 2, size of lhs = 12:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V3,V1,V0), distinct_lines-{F}(V3,V2), P_parallel_through_point-{F}(V3,V4,V1), P_parallel_through_point-{F}(V3,V5,V1), pppp1-{F}(V6,V1,V2), P_parallel_through_point-{F}(V7,V8,V1), P_parallel_through_point-{F}(V9,V8,V3), P_parallel_through_point-{F}(V10,V11,V1), P_parallel_through_point-{F}(V12,V11,V3) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #412: mergings( V4 == V7, V5 == V8, V7 == V15, V3 == V17, V8 == V16; #401 ), references = 2, size of lhs = 11:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V3), distinct_lines-{F}(V3,V2), P_intersection_point-{F}(V3,V1,V0), P_parallel_through_point-{F}(V3,V4,V1), pppp1-{F}(V5,V1,V2), P_parallel_through_point-{F}(V6,V7,V1), P_parallel_through_point-{F}(V8,V7,V3), P_parallel_through_point-{F}(V9,V10,V3), P_parallel_through_point-{F}(V11,V10,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #420: mergings( V6 == V16, V0 == V4, V3 == V16, V1 == V8, V16 == V9; #414 ), references = 1, size of lhs = 11:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V0), distinct_lines-{F}(V0,V2), distinct_lines-{F}(V2,V0), P_intersection_point-{F}(V2,V1,V3), P_parallel_through_point-{F}(V2,V4,V1), pppp1-{F}(V5,V1,V0), P_parallel_through_point-{F}(V6,V7,V1), P_parallel_through_point-{F}(V8,V7,V2), P_parallel_through_point-{F}(V9,V10,V2), P_parallel_through_point-{F}(V11,V10,V1) | apart_point_and_line-{T}(V3,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #427: mergings( V0 == V4, V3 == V6, V1 == V8, V6 == V9, V8 == V14, V9 == V15; #413 ), references = 1, size of lhs = 12:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V0), distinct_lines-{F}(V0,V2), distinct_lines-{F}(V2,V0), P_intersection_point-{F}(V2,V1,V3), P_parallel_through_point-{F}(V2,V4,V1), P_parallel_through_point-{F}(V2,V5,V1), pppp1-{F}(V6,V1,V0), P_parallel_through_point-{F}(V7,V8,V1), P_parallel_through_point-{F}(V9,V8,V2), P_parallel_through_point-{F}(V10,V11,V1), P_parallel_through_point-{F}(V12,V11,V2) | apart_point_and_line-{T}(V3,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #439: mergings( V4 == V0, V1 == V5, V0 == V8, V3 == V9; #433 ), references = 2, size of lhs = 7:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), P_parallel_through_point-{F}(V0,V4,V3), pppp1-{F}(V5,V3,V1), P_parallel_through_point-{F}(V6,V7,V3), P_parallel_through_point-{F}(V8,V7,V0) | apart_point_and_line-{T}(V2,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #444: mergings( V4 == V0, V1 == V5, V0 == V10, V3 == V11; #434 ), references = 1, size of lhs = 7:
% 5.23/5.39 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1), distinct_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V0,V5,V3), P_parallel_through_point-{F}(V6,V7,V3), P_parallel_through_point-{F}(V8,V7,V0) | apart_point_and_line-{T}(V4,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #450: mergings( V4 == V5; #447 ), references = 1, size of lhs = 5:
% 5.23/5.39 P_parallel_through_point-{F}(V0,V1,V0), distinct_lines-{F}(V0,V2), pppp1-{F}(V3,V0,V2), P_parallel_through_point-{F}(V4,V5,V0), P_parallel_through_point-{F}(V6,V5,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #453: exists( #19, #447 ), references = 1, size of lhs = 5:
% 5.23/5.39 P_parallel_through_point-{F}(V0,V1,V0), pppp2-{F}(V0,V2), distinct_lines-{F}(V0,V2), P_parallel_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V5,V4,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #458: disj( #16, #190+#14, input ), references = 1, size of lhs = 5:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), P_intersection_point-{F}(V2,V1,V0), distinct_lines-{F}(V3,V2), P_parallel_through_point-{F}(V1,V4,V3), P_parallel_through_point-{F}(V5,V6,V3) | apart_point_and_line-{T}(V6,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #459: disj( #16, #190+#14, input ), references = 1, size of lhs = 6:
% 5.23/5.39 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V3,V4,V5), apart_point_and_line-{F}(V5,V4), P_parallel_through_point-{F}(V4,V6,V2) | apart_point_and_line-{T}(V0,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #468: exists( #21, #466 ), references = 1, size of lhs = 9:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V5,V4,V6), P_parallel_through_point-{F}(V6,V7,V0), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V9,V11), pppp1-{F}(V12,V11,V1), P_parallel_through_point-{F}(V6,V13,V11) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #502: disj( #12, input ), references = 1, size of lhs = 3:
% 5.23/5.39 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3) | distinct_lines-{T}(V3,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #523: mergings( V5 == V12, V3 == V1, V6 == V13; #517 ), references = 1, size of lhs = 11:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), P_parallel_through_point-{F}(V0,V4,V5), P_parallel_through_point-{F}(V3,V6,V5), pppp1-{F}(V7,V5,V1), P_parallel_through_point-{F}(V8,V9,V5), P_parallel_through_point-{F}(V10,V9,V0), P_parallel_through_point-{F}(V11,V12,V5), P_parallel_through_point-{F}(V13,V12,V3) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #527: mergings( V5 == V14, V3 == V1, V6 == V15; #518 ), references = 1, size of lhs = 11:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), P_parallel_through_point-{F}(V0,V4,V5), pppp1-{F}(V6,V5,V1), P_parallel_through_point-{F}(V5,V7,V3), P_parallel_through_point-{F}(V8,V9,V5), P_parallel_through_point-{F}(V10,V9,V0), P_parallel_through_point-{F}(V11,V12,V3), P_parallel_through_point-{F}(V13,V12,V5) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #547: exists( #21, #541 ), references = 1, size of lhs = 9:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), P_line_connecting-{F}(V2,V0,V1), P_parallel_through_point-{F}(V3,V2,V4), P_parallel_through_point-{F}(V5,V0,V6), P_parallel_through_point-{F}(V6,V7,V4), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V9,V11), pppp1-{F}(V4,V11,V12), P_parallel_through_point-{F}(V6,V13,V11) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #548: exists( #21, #542 ), references = 2, size of lhs = 9:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), P_line_connecting-{F}(V0,V2,V1), P_parallel_through_point-{F}(V3,V0,V4), P_parallel_through_point-{F}(V5,V2,V6), P_parallel_through_point-{F}(V6,V7,V4), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V9,V11), pppp1-{F}(V4,V11,V12), P_parallel_through_point-{F}(V6,V13,V11) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #552: disj( #16, exists( #28, #142 ), input ), references = 1, size of lhs = 5:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V0,V2), convergent_lines-{F}(V2,V0), P_intersection_point-{F}(V0,V2,V3), P_parallel_through_point-{F}(V4,V3,V1) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #553: disj( #16, exists( #28, #142 ), input ), references = 1, size of lhs = 6:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V0,V2), convergent_lines-{F}(V2,V0), P_intersection_point-{F}(V0,V2,V3), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V1) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #554: disj( #16, exists( #28, #142 ), exists( #21, #541 ) ), references = 1, size of lhs = 12:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V0,V2), convergent_lines-{F}(V2,V0), P_intersection_point-{F}(V0,V2,V3), P_line_connecting-{F}(V4,V3,V1), P_parallel_through_point-{F}(V5,V4,V6), P_parallel_through_point-{F}(V7,V3,V8), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V11,V8), P_parallel_through_point-{F}(V12,V11,V13), pppp1-{F}(V6,V13,V14), P_parallel_through_point-{F}(V8,V15,V13) | convergent_lines-{T}(V0,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #572: mergings( V1 == V21, V2 == V22, V0 == V14; #568 ), references = 1, size of lhs = 13:
% 5.23/5.39 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V2), P_line_connecting-{F}(V1,V4,V5), P_parallel_through_point-{F}(V5,V6,V2), P_parallel_through_point-{F}(V7,V8,V5), P_parallel_through_point-{F}(V9,V8,V10), P_parallel_through_point-{F}(V5,V11,V10), pppp1-{F}(V2,V10,V12), P_parallel_through_point-{F}(V13,V4,V14), P_parallel_through_point-{F}(V14,V15,V2), P_parallel_through_point-{F}(V14,V16,V10), P_parallel_through_point-{F}(V17,V18,V14), P_parallel_through_point-{F}(V19,V18,V10) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #584: mergings( V4 == V2, V8 == V0; #580 ), references = 1, size of lhs = 12:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V0,V3), P_parallel_through_point-{F}(V2,V4,V0), pppp1-{F}(V5,V0,V1), P_parallel_through_point-{F}(V6,V3,V5), P_parallel_through_point-{F}(V0,V7,V5), P_parallel_through_point-{F}(V8,V9,V0), P_parallel_through_point-{F}(V10,V9,V2), P_parallel_through_point-{F}(V11,V12,V2), P_parallel_through_point-{F}(V13,V12,V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #587: mergings( V4 == V2, V9 == V0; #581 ), references = 1, size of lhs = 13:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V0), distinct_lines-{F}(V2,V0), P_intersection_point-{F}(V1,V2,V3), P_parallel_through_point-{F}(V1,V4,V2), P_parallel_through_point-{F}(V1,V5,V2), pppp1-{F}(V6,V2,V0), P_parallel_through_point-{F}(V7,V3,V6), P_parallel_through_point-{F}(V2,V8,V6), P_parallel_through_point-{F}(V9,V10,V2), P_parallel_through_point-{F}(V11,V10,V1), P_parallel_through_point-{F}(V12,V13,V2), P_parallel_through_point-{F}(V14,V13,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #600: disj( #12, #102+#7 ), references = 1, size of lhs = 7:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), distinct_points-{F}(V4,V3), P_line_connecting-{F}(V4,V3,V5), P_intersection_point-{F}(V1,V5,V6), apart_point_and_line-{F}(V6,V1) | apart_point_and_line-{T}(V0,V5)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #618: disj( #11, mergings( V4 == V7, V5 == V8, V7 == V15, V3 == V17, V8 == V16; #401 ) ), references = 1, size of lhs = 11:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V3), distinct_lines-{F}(V3,V2), P_intersection_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V3,V5,V1), pppp1-{F}(V6,V1,V2), P_parallel_through_point-{F}(V7,V8,V1), P_parallel_through_point-{F}(V9,V8,V3), P_parallel_through_point-{F}(V10,V11,V3), P_parallel_through_point-{F}(V12,V11,V1) | distinct_points-{T}(V0,V4)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #619: disj( #11, mergings( V4 == V7, V5 == V8, V7 == V13, V8 == V14; #400 ) ), references = 1, size of lhs = 12:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), distinct_lines-{F}(V2,V3), distinct_lines-{F}(V3,V2), P_intersection_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V3,V5,V1), P_parallel_through_point-{F}(V3,V6,V1), pppp1-{F}(V7,V1,V2), P_parallel_through_point-{F}(V8,V9,V1), P_parallel_through_point-{F}(V10,V9,V3), P_parallel_through_point-{F}(V11,V12,V1), P_parallel_through_point-{F}(V13,V12,V3) | distinct_points-{T}(V0,V4)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #634: disj( #11, input ), references = 1, size of lhs = 3:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), P_line_connecting-{F}(V0,V2,V3), apart_point_and_line-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #684: disj( #16, input, input ), references = 1, size of lhs = 5:
% 5.23/5.39 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V3) | convergent_lines-{T}(V1,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #685: disj( #16, input, exists( #21, #388 ) ), references = 1, size of lhs = 9:
% 5.23/5.39 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V3), P_parallel_through_point-{F}(V2,V5,V6), pppp1-{F}(V7,V6,V4), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V9,V2) | convergent_lines-{T}(V1,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #686: disj( #16, exists( #21, #153 ), input ), references = 1, size of lhs = 9:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V3), P_parallel_through_point-{F}(V0,V5,V6), pppp1-{F}(V7,V6,V1), P_parallel_through_point-{F}(V8,V9,V6), P_parallel_through_point-{F}(V10,V9,V0) | convergent_lines-{T}(V1,V2)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #698: disj( #12, input ), references = 3, size of lhs = 3:
% 5.23/5.39 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #707: disj( #16, mergings( V1 == V6, V3 == V4, V5 == V0; #197 ), #87+#698+#49+#7 ), references = 1, size of lhs = 7:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V0), pppp1-{F}(V2,V1,V0), P_parallel_through_point-{F}(V3,V4,V1), P_parallel_through_point-{F}(V5,V4,V1), P_line_connecting-{F}(V6,V4,V7), P_parallel_through_point-{F}(V7,V8,V1) | apart_point_and_line-{T}(V6,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #708: disj( #16, mergings( V1 == V6, V3 == V4, V5 == V0; #197 ), #87+#698+#49+#15 ), references = 1, size of lhs = 8:
% 5.23/5.39 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V1,V0), pppp1-{F}(V2,V1,V0), P_parallel_through_point-{F}(V3,V4,V1), P_line_connecting-{F}(V5,V4,V6), P_parallel_through_point-{F}(V6,V7,V1), P_parallel_through_point-{F}(V8,V9,V1), P_parallel_through_point-{F}(V10,V9,V6) | apart_point_and_line-{T}(V5,V0)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #725: mergings( V6 == V5, V7 == V3, V4 == V0, V1 == V5; #717 ), references = 1, size of lhs = 3:
% 5.23/5.39 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp1-{F}(V3,V0,V1) | apart_point_and_line-{T}(V2,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #729: mergings( V4 == V0, V1 == V5; #718 ), references = 1, size of lhs = 3:
% 5.23/5.39 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1), pppp0-{F}(V3,V4,V0,V5) | apart_point_and_line-{T}(V3,V1)
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #736: mergings( V3 == V4, V1 == V7, V4 == V5, V6 == V0; #731 ), references = 1, size of lhs = 2:
% 5.23/5.39 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #738: exists( #19, #731 ), references = 1, size of lhs = 2:
% 5.23/5.39 pppp2-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #741: exists( #18, #739 ), references = 1, size of lhs = 1:
% 5.23/5.39 pppp3-{F}(V0) | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 #743: exists( #17, #740 ), references = 1, size of lhs = 0:
% 5.23/5.39 FALSE | FALSE
% 5.23/5.39 (used 0 times, uses = {})
% 5.23/5.39
% 5.23/5.39 number of learnt formulas = 100
% 5.23/5.39
% 5.23/5.39
% 5.23/5.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.23/5.39
% 5.23/5.39 randbase = 1
%------------------------------------------------------------------------------