TSTP Solution File: GEO187+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO187+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 06:01:56 EDT 2022
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 17:44:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.75 GeoParameters:
% 0.55/0.75
% 0.55/0.75 tptp_input = 1
% 0.55/0.75 tptp_output = 0
% 0.55/0.75 nonempty = 1
% 0.55/0.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75
% 0.55/0.75 RuleSystem INPUT:
% 0.55/0.75
% 0.55/0.75 Initial Rules:
% 0.55/0.75 #0: input, references = 4, size of lhs = 1:
% 0.55/0.75 distinct_points-{F}(V0,V0) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #1: input, references = 3, size of lhs = 1:
% 0.55/0.75 distinct_lines-{F}(V0,V0) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #2: input, references = 3, size of lhs = 1:
% 0.55/0.75 convergent_lines-{F}(V0,V0) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #3: input, references = 8, size of lhs = 2:
% 0.55/0.75 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #4: input, references = 3, size of lhs = 2:
% 0.55/0.75 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #5: input, references = 3, size of lhs = 2:
% 0.55/0.75 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #6: input, references = 7, size of lhs = 3:
% 0.55/0.75 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #7: input, references = 6, size of lhs = 3:
% 0.55/0.75 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #8: input, references = 3, size of lhs = 3:
% 0.55/0.75 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #9: input, references = 3, size of lhs = 3:
% 0.55/0.75 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #10: input, references = 4, size of lhs = 2:
% 0.55/0.75 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)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #11: input, references = 3, size of lhs = 2:
% 0.55/0.75 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #12: input, references = 4, size of lhs = 2:
% 0.55/0.75 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #13: input, references = 3, size of lhs = 2:
% 0.55/0.75 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #14: input, references = 4, size of lhs = 0:
% 0.55/0.75 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #15: input, references = 4, size of lhs = 1:
% 0.55/0.75 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #16: input, references = 5, size of lhs = 2:
% 0.55/0.75 pppp2-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V3,V0,V1,V2)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #17: input, references = 5, size of lhs = 2:
% 0.55/0.75 pppp2-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | distinct_points-{T}(V0,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #18: input, references = 7, size of lhs = 1:
% 0.55/0.75 pppp1-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V4,V0,V1,V2,V3)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #19: input, references = 10, size of lhs = 2:
% 0.55/0.75 pppp1-{F}(V0,V1,V2,V3), apart_point_and_line-{F}(V0,V3) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #20: input, references = 8, size of lhs = 2:
% 0.55/0.75 pppp0-{F}(V0,V1,V2,V3,V4), P_line_connecting-{F}(V0,V1,V5) | apart_point_and_line-{T}(V2,V5), apart_point_and_line-{T}(V3,V5)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #21: input, references = 3, size of lhs = 3:
% 0.55/0.75 pppp0-{F}(V0,V1,V2,V3,V4), P_line_connecting-{F}(V0,V1,V5), apart_point_and_line-{F}(V0,V4) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #22: input, references = 12, size of lhs = 2:
% 0.55/0.75 pppp0-{F}(V0,V1,V2,V3,V4), P_line_connecting-{F}(V0,V1,V5) | distinct_points-{T}(V0,V1)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #23: input, references = 14, size of lhs = 2:
% 0.55/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #24: input, references = 3, size of lhs = 2:
% 0.55/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 number of initial rules = 25
% 0.55/0.75
% 0.55/0.75 Simplifiers:
% 0.55/0.75 #25: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #26: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #27: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #28: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V2,V3,V4), V1 == V6 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #29: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V2,V8,V9), V3 == V8 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #30: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #31: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V2,V3,V9), V4 == V9 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #32: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #33: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #34: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #35: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #36: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #37: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #38: unsound, references = 3, size of lhs = 3:
% 0.55/0.75 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 number of simplifiers = 14
% 0.55/0.75
% 0.55/0.75 Learnt:
% 0.55/0.75 #41: exists( #23, #39 ), references = 1, size of lhs = 1:
% 0.55/0.75 pppp2-{F}(V0,V0) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #43: disj( #3, input ), references = 18, size of lhs = 1:
% 0.55/0.75 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #46: disj( #20, input ), references = 4, size of lhs = 4:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V3,V4,V1,V5,V6) | apart_point_and_line-{T}(V5,V2)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #50: disj( #20, input ), references = 3, size of lhs = 4:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V3,V4,V5,V1,V6) | apart_point_and_line-{T}(V5,V2)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #54: disj( #12, input ), references = 3, size of lhs = 3:
% 0.55/0.75 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #55: disj( #12, input ), references = 10, size of lhs = 3:
% 0.55/0.75 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #58: disj( #10, input, input ), references = 1, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V1,V5,V6), pppp0-{F}(V1,V5,V7,V8,V4) | apart_point_and_line-{T}(V0,V3), apart_point_and_line-{T}(V0,V4)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #60: disj( #56, input ), references = 12, size of lhs = 8:
% 0.55/0.75 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), P_line_connecting-{F}(V0,V1,V4), distinct_lines-{F}(V4,V5), P_line_connecting-{F}(V2,V6,V7), pppp0-{F}(V2,V6,V8,V9,V5) | apart_point_and_line-{T}(V1,V5)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #72: mergings( V3 == V7, V1 == V8, V4 == V6; #67 ), references = 2, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), distinct_points-{F}(V4,V3), pppp0-{F}(V4,V3,V0,V3,V2), pppp1-{F}(V3,V5,V6,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #76: mergings( V3 == V8, V1 == V9, V4 == V6; #68 ), references = 2, size of lhs = 7:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V4,V5), distinct_points-{F}(V5,V4), pppp0-{F}(V5,V4,V0,V4,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #84: mergings( V3 == V7, V1 == V8, V6 == V5; #79 ), references = 1, size of lhs = 5:
% 0.55/0.75 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), pppp0-{F}(V5,V0,V2,V0,V4), pppp1-{F}(V0,V6,V7,V4) | distinct_points-{T}(V1,V5)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #88: mergings( V3 == V8, V1 == V9, V7 == V5; #80 ), references = 1, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V4,V5), pppp0-{F}(V6,V4,V0,V4,V2) | distinct_points-{T}(V5,V6)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #98: mergings( V3 == V8, V1 == V9, V5 == V10; #93 ), references = 1, size of lhs = 4:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V0,V4,V2), pppp1-{F}(V4,V5,V6,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #102: mergings( V3 == V7, V1 == V8, V5 == V9; #94 ), references = 1, size of lhs = 5:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V5,V4,V0,V4,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #107: mergings( V1 == V5, V0 == V6; #103 ), references = 1, size of lhs = 3:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V3,V0,V3,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #129: mergings( V1 == V7, V4 == V8, V5 == V6; #123 ), references = 2, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), distinct_points-{F}(V4,V3), pppp0-{F}(V4,V3,V3,V1,V2), pppp1-{F}(V3,V5,V6,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #133: mergings( V1 == V8, V4 == V9, V5 == V6; #124 ), references = 2, size of lhs = 7:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), distinct_points-{F}(V4,V3), pppp0-{F}(V4,V3,V3,V1,V2), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #137: mergings( V1 == V8, V4 == V9, V5 == V6; #125 ), references = 2, size of lhs = 7:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V4,V5), distinct_points-{F}(V5,V4), pppp0-{F}(V5,V4,V4,V1,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #147: mergings( V1 == V7, V4 == V8, V6 == V5; #141 ), references = 1, size of lhs = 5:
% 0.55/0.75 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), pppp0-{F}(V5,V0,V0,V3,V4), pppp1-{F}(V0,V6,V7,V4) | distinct_points-{T}(V1,V5)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #151: mergings( V1 == V8, V4 == V9, V6 == V5; #142 ), references = 1, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V3), pppp0-{F}(V6,V0,V0,V5,V3) | distinct_points-{T}(V1,V6)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #155: mergings( V1 == V8, V4 == V9, V7 == V5; #143 ), references = 1, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V4,V5), pppp0-{F}(V6,V4,V4,V1,V2) | distinct_points-{T}(V5,V6)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #173: mergings( V1 == V8, V4 == V9, V5 == V10; #167 ), references = 1, size of lhs = 4:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V4,V1,V2), pppp1-{F}(V4,V5,V6,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #177: mergings( V1 == V7, V4 == V8, V5 == V9; #168 ), references = 1, size of lhs = 5:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V5,V3,V3,V1,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #181: mergings( V1 == V7, V4 == V8, V5 == V9; #169 ), references = 1, size of lhs = 5:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V5,V4,V4,V1,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #187: mergings( V0 == V5, V1 == V6; #182 ), references = 1, size of lhs = 3:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V3,V3,V1,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #190: disj( #20, input ), references = 1, size of lhs = 4:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V3,V4,V0,V5,V6) | apart_point_and_line-{T}(V5,V2)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #209: mergings( V0 == V7, V4 == V8, V7 == V11, V8 == V12, V6 == V5, V5 == V13; #201 ), references = 1, size of lhs = 4:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V3,V1,V2), pppp1-{F}(V4,V5,V6,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #216: mergings( V0 == V8, V6 == V9, V8 == V10, V9 == V11, V7 == V4, V4 == V12; #202 ), references = 1, size of lhs = 5:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V5,V1,V5,V4,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #231: mergings( V2 == V14, V3 == V15, V4 == V7, V1 == V12, V0 == V10, V5 == V13; #223 ), references = 1, size of lhs = 10:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), distinct_points-{F}(V4,V6), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V5), P_line_connecting-{F}(V6,V8,V5), pppp0-{F}(V6,V8,V1,V9,V2), pppp1-{F}(V4,V10,V11,V2) | apart_point_and_line-{T}(V9,V5)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #249: mergings( V4 == V10, V7 == V11, V10 == V14, V11 == V15, V14 == V18, V15 == V19, V9 == V5, V5 == V8, V8 == V20, V12 == V16, V13 == V17; #237 ), references = 1, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V5,V6,V1,V4,V2), pppp1-{F}(V6,V7,V8,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #255: mergings( V1 == V7, V2 == V8, V7 == V9, V8 == V10; #250 ), references = 1, size of lhs = 5:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp1-{F}(V5,V1,V4,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #257: exists( #16, #250 ), references = 1, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), pppp2-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V0,V1,V3), distinct_points-{F}(V4,V2), P_line_connecting-{F}(V4,V2,V3) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #260: disj( #3, #43+#256 ), references = 3, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), pppp2-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), P_line_connecting-{F}(V4,V0,V3), distinct_points-{F}(V5,V2), P_line_connecting-{F}(V5,V2,V3) | distinct_points-{T}(V1,V4)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #279: mergings( V2 == V14, V3 == V15, V4 == V7, V1 == V12, V0 == V10, V5 == V13; #271 ), references = 3, size of lhs = 10:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), distinct_points-{F}(V4,V6), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V5), P_line_connecting-{F}(V6,V8,V5), pppp0-{F}(V6,V8,V0,V9,V2), pppp1-{F}(V4,V10,V11,V2) | apart_point_and_line-{T}(V9,V5)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #286: mergings( V2 == V15, V3 == V16, V4 == V7, V1 == V13, V0 == V10, V5 == V14; #272 ), references = 1, size of lhs = 11:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), distinct_points-{F}(V4,V6), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V5), distinct_points-{F}(V4,V8), P_line_connecting-{F}(V4,V8,V2), P_line_connecting-{F}(V6,V9,V5), pppp0-{F}(V6,V9,V0,V10,V2) | apart_point_and_line-{T}(V10,V5)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #292: mergings( V3 == V7, V0 == V8, V6 == V5; #288 ), references = 1, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), distinct_points-{F}(V4,V3), pppp0-{F}(V4,V3,V0,V4,V2), pppp1-{F}(V3,V5,V6,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #310: mergings( V3 == V11, V6 == V12, V5 == V8, V9 == V13, V10 == V14; #303 ), references = 2, size of lhs = 8:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V5,V6), distinct_points-{F}(V6,V5), pppp0-{F}(V6,V5,V0,V4,V2), pppp1-{F}(V5,V7,V8,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #314: mergings( V3 == V12, V6 == V13, V5 == V8; #304 ), references = 1, size of lhs = 10:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V5,V6), distinct_points-{F}(V6,V5), pppp0-{F}(V6,V5,V0,V4,V2), distinct_points-{F}(V5,V7), P_line_connecting-{F}(V5,V7,V2), pppp1-{F}(V5,V8,V9,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #326: mergings( V7 == V15, V10 == V16, V9 == V12, V13 == V17, V14 == V18; #319 ), references = 1, size of lhs = 12:
% 0.55/0.75 distinct_points-{F}(V0,V1), pppp2-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V1,V3), distinct_points-{F}(V5,V2), P_line_connecting-{F}(V5,V2,V3), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V8), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V8), pppp0-{F}(V11,V4,V6,V10,V8), pppp1-{F}(V4,V12,V13,V8) | distinct_points-{T}(V0,V11)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #330: mergings( V9 == V16, V12 == V17, V11 == V8; #320 ), references = 1, size of lhs = 14:
% 0.55/0.75 distinct_points-{F}(V0,V1), pppp2-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V1,V3), distinct_points-{F}(V5,V2), P_line_connecting-{F}(V5,V2,V3), distinct_points-{F}(V4,V6), P_line_connecting-{F}(V4,V6,V7), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V8,V9,V7), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V7), pppp0-{F}(V12,V4,V8,V11,V7), pppp1-{F}(V4,V13,V14,V7) | distinct_points-{T}(V0,V12)
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #343: mergings( V3 == V10, V7 == V11, V5 == V12; #338 ), references = 1, size of lhs = 6:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V5,V6,V0,V4,V2), pppp1-{F}(V6,V7,V8,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #348: mergings( V1 == V7, V2 == V8; #344 ), references = 1, size of lhs = 5:
% 0.55/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp1-{F}(V5,V0,V4,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #350: exists( #16, #344 ), references = 1, size of lhs = 6:
% 0.55/0.75 pppp2-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V3), P_line_connecting-{F}(V0,V3,V2), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V2) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #353: exists( #23, #351 ), references = 1, size of lhs = 1:
% 0.55/0.75 pppp2-{F}(V0,V1) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #355: exists( #15, #352 ), references = 1, size of lhs = 1:
% 0.55/0.75 pppp3-{F}(V0) | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 #357: exists( #14, #354 ), references = 1, size of lhs = 0:
% 0.55/0.75 FALSE | FALSE
% 0.55/0.75 (used 0 times, uses = {})
% 0.55/0.75
% 0.55/0.75 number of learnt formulas = 46
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75
% 0.55/0.75 randbase = 1
%------------------------------------------------------------------------------