TSTP Solution File: GEO203+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 1.84s 2.00s
% Output : Refutation 1.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:09:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.84/2.00 GeoParameters:
% 1.84/2.00
% 1.84/2.00 tptp_input = 1
% 1.84/2.00 tptp_output = 0
% 1.84/2.00 nonempty = 1
% 1.84/2.00 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.00 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.84/2.00
% 1.84/2.00
% 1.84/2.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.00 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.00
% 1.84/2.00 RuleSystem INPUT:
% 1.84/2.00
% 1.84/2.00 Initial Rules:
% 1.84/2.00 #0: input, references = 5, size of lhs = 1:
% 1.84/2.00 distinct_points-{F}(V0,V0) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #1: input, references = 3, size of lhs = 1:
% 1.84/2.00 distinct_lines-{F}(V0,V0) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #2: input, references = 4, size of lhs = 1:
% 1.84/2.00 convergent_lines-{F}(V0,V0) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #3: input, references = 6, size of lhs = 2:
% 1.84/2.00 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #4: input, references = 6, size of lhs = 2:
% 1.84/2.00 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #5: input, references = 9, size of lhs = 2:
% 1.84/2.00 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #6: input, references = 7, size of lhs = 3:
% 1.84/2.00 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #7: input, references = 6, size of lhs = 3:
% 1.84/2.00 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #8: input, references = 4, size of lhs = 3:
% 1.84/2.00 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #9: input, references = 8, size of lhs = 3:
% 1.84/2.00 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #10: input, references = 6, size of lhs = 2:
% 1.84/2.00 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)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #11: input, references = 3, size of lhs = 2:
% 1.84/2.00 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #12: input, references = 3, size of lhs = 2:
% 1.84/2.00 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #13: input, references = 4, size of lhs = 2:
% 1.84/2.00 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #14: input, references = 4, size of lhs = 0:
% 1.84/2.00 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #15: input, references = 4, size of lhs = 1:
% 1.84/2.00 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #16: input, references = 4, size of lhs = 2:
% 1.84/2.00 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V3,V2)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #17: input, references = 5, size of lhs = 2:
% 1.84/2.00 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #18: input, references = 4, size of lhs = 3:
% 1.84/2.00 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4) | distinct_lines-{T}(V4,V0)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #19: input, references = 15, size of lhs = 3:
% 1.84/2.00 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4) | distinct_points-{T}(V3,V2)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #20: input, references = 22, size of lhs = 3:
% 1.84/2.00 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4) | convergent_lines-{T}(V0,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #21: input, references = 17, size of lhs = 2:
% 1.84/2.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #22: input, references = 6, size of lhs = 2:
% 1.84/2.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 number of initial rules = 23
% 1.84/2.00
% 1.84/2.00 Simplifiers:
% 1.84/2.00 #23: unsound, references = 3, size of lhs = 3:
% 1.84/2.00 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #24: unsound, references = 3, size of lhs = 3:
% 1.84/2.00 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #25: unsound, references = 3, size of lhs = 3:
% 1.84/2.00 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #26: unsound, references = 3, size of lhs = 3:
% 1.84/2.00 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #27: unsound, references = 3, size of lhs = 3:
% 1.84/2.00 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #28: unsound, references = 3, size of lhs = 3:
% 1.84/2.00 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #29: unsound, references = 3, size of lhs = 3:
% 1.84/2.00 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 number of simplifiers = 7
% 1.84/2.00
% 1.84/2.00 Learnt:
% 1.84/2.00 #32: exists( #22, #30 ), references = 1, size of lhs = 1:
% 1.84/2.00 pppp1-{F}(V0,V0) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #34: disj( #5, input ), references = 5, size of lhs = 1:
% 1.84/2.00 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #37: disj( #3, input ), references = 15, size of lhs = 1:
% 1.84/2.00 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #39: disj( #13, input ), references = 9, size of lhs = 1:
% 1.84/2.00 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #42: disj( #10, input, input, input ), references = 12, size of lhs = 8:
% 1.84/2.00 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)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #72: mergings( V5 == V9, V8 == V10; #68 ), references = 1, size of lhs = 9:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), P_intersection_point-{F}(V0,V1,V4), convergent_lines-{F}(V1,V5), P_intersection_point-{F}(V1,V5,V6), pppp0-{F}(V2,V7,V4), P_intersection_point-{F}(V2,V7,V6) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #75: mergings( V4 == V8, V7 == V9; #69 ), references = 1, size of lhs = 8:
% 1.84/2.00 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), P_line_connecting-{F}(V3,V5,V0), pppp0-{F}(V1,V6,V3), P_intersection_point-{F}(V1,V6,V5) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #81: exists( #21, #79 ), references = 7, size of lhs = 11:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), P_intersection_point-{F}(V0,V1,V4), convergent_lines-{F}(V1,V5), P_intersection_point-{F}(V1,V5,V6), convergent_lines-{F}(V2,V7), P_intersection_point-{F}(V2,V7,V6), pppp0-{F}(V8,V9,V6), P_intersection_point-{F}(V8,V9,V4) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #84: disj( #5, exists( #21, #79 ) ), references = 1, size of lhs = 11:
% 1.84/2.00 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_intersection_point-{F}(V0,V1,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_intersection_point-{F}(V1,V8,V7), pppp0-{F}(V9,V10,V7), P_intersection_point-{F}(V9,V10,V5) | convergent_lines-{T}(V2,V8)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #86: disj( #4, input ), references = 5, size of lhs = 1:
% 1.84/2.00 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #95: mergings( V0 == V5, V4 == V8; #92 ), references = 1, size of lhs = 8:
% 1.84/2.00 distinct_lines-{F}(V0,V1), pppp0-{F}(V1,V0,V2), P_intersection_point-{F}(V1,V0,V3), P_intersection_point-{F}(V0,V1,V4), convergent_lines-{F}(V1,V5), P_intersection_point-{F}(V1,V5,V4), pppp0-{F}(V1,V6,V4), P_intersection_point-{F}(V1,V6,V3) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #100: mergings( V4 == V5, V2 == V8; #97 ), references = 1, size of lhs = 8:
% 1.84/2.00 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V4,V1,V3), pppp0-{F}(V1,V4,V5), P_intersection_point-{F}(V1,V4,V6), pppp0-{F}(V1,V7,V3), P_intersection_point-{F}(V1,V7,V6) | distinct_lines-{T}(V0,V4)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #110: mergings( V0 == V7, V3 == V8; #106 ), references = 1, size of lhs = 7:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V3,V0,V2), pppp0-{F}(V0,V3,V4), P_intersection_point-{F}(V0,V3,V5), pppp0-{F}(V0,V6,V2), P_intersection_point-{F}(V0,V6,V5) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #113: disj( #5, #34+#81 ), references = 1, size of lhs = 11:
% 1.84/2.00 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V1,V2,V3), distinct_lines-{F}(V4,V1), convergent_lines-{F}(V5,V4), P_intersection_point-{F}(V5,V4,V6), P_intersection_point-{F}(V1,V7,V6), convergent_lines-{F}(V4,V8), P_intersection_point-{F}(V4,V8,V3), pppp0-{F}(V9,V10,V3), P_intersection_point-{F}(V9,V10,V6) | convergent_lines-{T}(V0,V7)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #118: mergings( V6 == V0, V5 == V11; #115 ), references = 3, size of lhs = 11:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V2,V4,V3), pppp0-{F}(V2,V4,V5), convergent_lines-{F}(V1,V6), P_intersection_point-{F}(V1,V6,V7), convergent_lines-{F}(V2,V8), P_intersection_point-{F}(V2,V8,V7), pppp0-{F}(V2,V9,V7), P_intersection_point-{F}(V2,V9,V3) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #122: mergings( V5 == V8, V4 == V11; #119 ), references = 1, size of lhs = 11:
% 1.84/2.00 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), distinct_lines-{F}(V1,V3), P_intersection_point-{F}(V2,V1,V4), P_intersection_point-{F}(V3,V5,V4), pppp0-{F}(V3,V5,V6), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V8), P_intersection_point-{F}(V1,V9,V8), pppp0-{F}(V3,V10,V8), P_intersection_point-{F}(V3,V10,V4) | convergent_lines-{T}(V0,V9)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #125: disj( #3, #42+#9 ), references = 10, size of lhs = 10:
% 1.84/2.00 distinct_points-{F}(V0,V1), convergent_lines-{F}(V2,V3), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V2,V3,V6), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V1), convergent_lines-{F}(V4,V8), P_intersection_point-{F}(V4,V8,V1) | distinct_points-{T}(V0,V6)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #140: mergings( V7 == V9, V4 == V10; #136 ), references = 1, size of lhs = 17:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), P_intersection_point-{F}(V5,V1,V4), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V2), pppp0-{F}(V5,V1,V7), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V2), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V2), convergent_lines-{F}(V9,V12), P_intersection_point-{F}(V9,V12,V7), convergent_lines-{F}(V10,V13), P_intersection_point-{F}(V10,V13,V7) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #143: mergings( V3 == V9, V6 == V10; #137 ), references = 1, size of lhs = 17:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_intersection_point-{F}(V0,V3,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V2), pppp0-{F}(V0,V3,V7), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V2), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V2), convergent_lines-{F}(V9,V12), P_intersection_point-{F}(V9,V12,V7), convergent_lines-{F}(V10,V13), P_intersection_point-{F}(V10,V13,V7) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #153: mergings( V7 == V9, V4 == V10; #150 ), references = 1, size of lhs = 17:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), P_intersection_point-{F}(V5,V1,V4), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V2), pppp0-{F}(V5,V1,V7), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V7), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V7), convergent_lines-{F}(V9,V12), P_intersection_point-{F}(V9,V12,V2), convergent_lines-{F}(V10,V13), P_intersection_point-{F}(V10,V13,V2) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #156: disj( #5, exists( #21, #79 ) ), references = 1, size of lhs = 9:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V1,V2,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V5), convergent_lines-{F}(V1,V6), P_intersection_point-{F}(V1,V6,V5), pppp0-{F}(V7,V8,V5), P_intersection_point-{F}(V7,V8,V3) | convergent_lines-{T}(V0,V2)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #157: disj( #5, mergings( V6 == V0, V5 == V11; #115 ) ), references = 1, size of lhs = 11:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V1,V2,V4), P_intersection_point-{F}(V3,V5,V4), pppp0-{F}(V3,V5,V6), convergent_lines-{F}(V2,V7), P_intersection_point-{F}(V2,V7,V8), convergent_lines-{F}(V3,V9), P_intersection_point-{F}(V3,V9,V8), pppp0-{F}(V3,V10,V8), P_intersection_point-{F}(V3,V10,V4) | convergent_lines-{T}(V0,V2)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #164: mergings( V0 == V5, V4 == V9; #160 ), references = 2, size of lhs = 9:
% 1.84/2.00 distinct_lines-{F}(V0,V1), pppp0-{F}(V1,V0,V2), P_intersection_point-{F}(V1,V0,V3), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V5), convergent_lines-{F}(V1,V6), P_intersection_point-{F}(V1,V6,V5), pppp0-{F}(V1,V7,V5), P_intersection_point-{F}(V1,V7,V3) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #167: mergings( V9 == V0, V4 == V10; #161 ), references = 1, size of lhs = 11:
% 1.84/2.00 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V3), pppp0-{F}(V1,V5,V3), P_intersection_point-{F}(V1,V5,V6), P_intersection_point-{F}(V1,V0,V6), pppp0-{F}(V1,V0,V7), P_intersection_point-{F}(V1,V8,V6), pppp0-{F}(V1,V8,V9) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #174: mergings( V4 == V5, V2 == V9; #170 ), references = 1, size of lhs = 9:
% 1.84/2.00 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), pppp0-{F}(V1,V4,V3), P_intersection_point-{F}(V1,V4,V5), P_intersection_point-{F}(V1,V6,V5), pppp0-{F}(V1,V6,V7), convergent_lines-{F}(V6,V8), P_intersection_point-{F}(V6,V8,V3) | distinct_lines-{T}(V0,V6)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #177: mergings( V7 == V10, V2 == V8; #171 ), references = 1, size of lhs = 11:
% 1.84/2.00 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), pppp0-{F}(V1,V4,V3), P_intersection_point-{F}(V1,V4,V5), P_intersection_point-{F}(V1,V6,V5), pppp0-{F}(V1,V6,V7), P_intersection_point-{F}(V1,V8,V5), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V3), pppp0-{F}(V1,V8,V10) | distinct_lines-{T}(V0,V8)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #194: mergings( V0 == V7, V6 == V9; #189 ), references = 1, size of lhs = 8:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V3,V0,V4), P_intersection_point-{F}(V3,V0,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V2), pppp0-{F}(V3,V7,V2), P_intersection_point-{F}(V3,V7,V5) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #196: mergings( V0 == V8; #190 ), references = 1, size of lhs = 9:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V3,V0,V4), pppp0-{F}(V3,V0,V5), P_intersection_point-{F}(V3,V0,V6), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V2), pppp0-{F}(V3,V8,V2), P_intersection_point-{F}(V3,V8,V6) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #198: mergings( V0 == V7; #191 ), references = 1, size of lhs = 10:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V3,V0,V4), P_intersection_point-{F}(V3,V0,V5), P_intersection_point-{F}(V3,V6,V5), pppp0-{F}(V3,V6,V7), convergent_lines-{F}(V3,V8), P_intersection_point-{F}(V3,V8,V2), pppp0-{F}(V3,V9,V2), P_intersection_point-{F}(V3,V9,V5) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #200: disj( #5, mergings( V4 == V8, V7 == V9; #69 ) ), references = 1, size of lhs = 8:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V0,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), pppp0-{F}(V2,V5,V4), P_intersection_point-{F}(V2,V5,V6), P_line_connecting-{F}(V4,V6,V0), P_intersection_point-{F}(V0,V7,V6) | convergent_lines-{T}(V1,V7)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #216: mergings( V10 == V20, V11 == V21; #213 ), references = 1, size of lhs = 26:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), P_intersection_point-{F}(V0,V1,V4), convergent_lines-{F}(V1,V5), P_intersection_point-{F}(V1,V5,V6), convergent_lines-{F}(V2,V7), P_intersection_point-{F}(V2,V7,V6), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V12), P_intersection_point-{F}(V8,V9,V12), convergent_lines-{F}(V9,V13), P_intersection_point-{F}(V9,V13,V4), convergent_lines-{F}(V10,V14), P_intersection_point-{F}(V10,V14,V4), P_line_connecting-{F}(V12,V15,V16), distinct_lines-{F}(V16,V17), pppp0-{F}(V17,V18,V6), P_intersection_point-{F}(V17,V18,V15), convergent_lines-{F}(V16,V19), P_intersection_point-{F}(V16,V19,V4), convergent_lines-{F}(V17,V20), P_intersection_point-{F}(V17,V20,V4) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #225: disj( #3, #37+#125+#42+#37+#7 ), references = 4, size of lhs = 18:
% 1.84/2.00 distinct_points-{F}(V0,V1), convergent_lines-{F}(V2,V3), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V2,V3,V6), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V8), convergent_lines-{F}(V4,V9), P_intersection_point-{F}(V4,V9,V8), P_line_connecting-{F}(V6,V1,V10), distinct_lines-{F}(V10,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V1), convergent_lines-{F}(V10,V13), P_intersection_point-{F}(V10,V13,V8), convergent_lines-{F}(V11,V14), P_intersection_point-{F}(V11,V14,V8) | distinct_points-{T}(V0,V8)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #226: disj( #3, #37+#42+#6 ), references = 1, size of lhs = 9:
% 1.84/2.00 distinct_points-{F}(V0,V1), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V1), convergent_lines-{F}(V2,V5), P_intersection_point-{F}(V2,V5,V6), P_line_connecting-{F}(V1,V6,V2), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V6) | distinct_points-{T}(V0,V6)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #248: mergings( V17 == V20, V18 == V21; #244 ), references = 1, size of lhs = 26:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), P_intersection_point-{F}(V0,V1,V4), convergent_lines-{F}(V1,V5), P_intersection_point-{F}(V1,V5,V6), convergent_lines-{F}(V2,V7), P_intersection_point-{F}(V2,V7,V6), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V12), P_intersection_point-{F}(V8,V9,V12), convergent_lines-{F}(V9,V13), P_intersection_point-{F}(V9,V13,V6), convergent_lines-{F}(V10,V14), P_intersection_point-{F}(V10,V14,V6), P_line_connecting-{F}(V4,V15,V16), distinct_lines-{F}(V16,V17), pppp0-{F}(V17,V18,V12), P_intersection_point-{F}(V17,V18,V15), convergent_lines-{F}(V16,V19), P_intersection_point-{F}(V16,V19,V6), convergent_lines-{F}(V17,V20), P_intersection_point-{F}(V17,V20,V6) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #251: mergings( V23 == V26, V24 == V27; #245 ), references = 1, size of lhs = 34:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), P_intersection_point-{F}(V0,V1,V4), convergent_lines-{F}(V1,V5), P_intersection_point-{F}(V1,V5,V6), convergent_lines-{F}(V2,V7), P_intersection_point-{F}(V2,V7,V6), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V12), P_intersection_point-{F}(V8,V9,V12), convergent_lines-{F}(V9,V13), P_intersection_point-{F}(V9,V13,V6), convergent_lines-{F}(V10,V14), P_intersection_point-{F}(V10,V14,V6), distinct_lines-{F}(V15,V16), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V18), P_line_connecting-{F}(V4,V18,V15), convergent_lines-{F}(V15,V19), P_intersection_point-{F}(V15,V19,V6), convergent_lines-{F}(V16,V20), P_intersection_point-{F}(V16,V20,V6), P_line_connecting-{F}(V12,V21,V22), distinct_lines-{F}(V22,V23), pppp0-{F}(V23,V24,V18), P_intersection_point-{F}(V23,V24,V21), convergent_lines-{F}(V22,V25), P_intersection_point-{F}(V22,V25,V6), convergent_lines-{F}(V23,V26), P_intersection_point-{F}(V23,V26,V6) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #261: mergings( V23 == V26, V24 == V27; #258 ), references = 1, size of lhs = 34:
% 1.84/2.00 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), P_intersection_point-{F}(V0,V1,V4), convergent_lines-{F}(V1,V5), P_intersection_point-{F}(V1,V5,V6), convergent_lines-{F}(V2,V7), P_intersection_point-{F}(V2,V7,V6), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V12), P_intersection_point-{F}(V8,V9,V12), convergent_lines-{F}(V9,V13), P_intersection_point-{F}(V9,V13,V6), convergent_lines-{F}(V10,V14), P_intersection_point-{F}(V10,V14,V6), distinct_lines-{F}(V15,V16), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V18), P_line_connecting-{F}(V4,V18,V15), convergent_lines-{F}(V15,V19), P_intersection_point-{F}(V15,V19,V6), convergent_lines-{F}(V16,V20), P_intersection_point-{F}(V16,V20,V6), P_line_connecting-{F}(V21,V12,V22), distinct_lines-{F}(V22,V23), pppp0-{F}(V23,V24,V18), P_intersection_point-{F}(V23,V24,V21), convergent_lines-{F}(V22,V25), P_intersection_point-{F}(V22,V25,V6), convergent_lines-{F}(V23,V26), P_intersection_point-{F}(V23,V26,V6) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #265: disj( #10, input, input ), references = 1, size of lhs = 6:
% 1.84/2.00 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), P_intersection_point-{F}(V5,V4,V1), convergent_lines-{F}(V5,V4) | apart_point_and_line-{T}(V2,V3), apart_point_and_line-{T}(V2,V4)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #266: disj( #10, input, input ), references = 1, size of lhs = 6:
% 1.84/2.00 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V5,V1,V4), distinct_points-{F}(V5,V1) | apart_point_and_line-{T}(V2,V3), apart_point_and_line-{T}(V2,V4)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #267: disj( #10, input, input ), references = 1, size of lhs = 6:
% 1.84/2.00 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V1,V5), P_line_connecting-{F}(V1,V5,V4) | apart_point_and_line-{T}(V2,V3), apart_point_and_line-{T}(V2,V4)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #270: disj( #10, input, input, input ), references = 2, size of lhs = 8:
% 1.84/2.00 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V5), distinct_points-{F}(V5,V3), P_line_connecting-{F}(V6,V5,V1), distinct_points-{F}(V6,V5) | apart_point_and_line-{T}(V3,V1)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #271: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 1.84/2.00 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V2), P_line_connecting-{F}(V6,V1,V4), distinct_points-{F}(V6,V1) | apart_point_and_line-{T}(V2,V4)
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #283: mergings( V6 == V9, V4 == V10; #280 ), references = 1, size of lhs = 33:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), P_intersection_point-{F}(V3,V1,V5), pppp0-{F}(V3,V1,V6), P_line_connecting-{F}(V7,V5,V1), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V12), P_intersection_point-{F}(V8,V9,V12), convergent_lines-{F}(V9,V13), P_intersection_point-{F}(V9,V13,V2), convergent_lines-{F}(V10,V14), P_intersection_point-{F}(V10,V14,V2), P_line_connecting-{F}(V12,V6,V15), distinct_lines-{F}(V15,V16), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V2), convergent_lines-{F}(V16,V19), P_intersection_point-{F}(V16,V19,V2), convergent_lines-{F}(V20,V21), P_intersection_point-{F}(V20,V21,V7), distinct_lines-{F}(V21,V22), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), convergent_lines-{F}(V21,V24), P_intersection_point-{F}(V21,V24,V2), convergent_lines-{F}(V22,V25), P_intersection_point-{F}(V22,V25,V2) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #307: mergings( V5 == V6, V3 == V7, V6 == V8; #303 ), references = 1, size of lhs = 4:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V2), P_intersection_point-{F}(V0,V3,V4) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #309: exists( #22, #303 ), references = 1, size of lhs = 3:
% 1.84/2.00 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V2) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #311: exists( #16, #308 ), references = 1, size of lhs = 4:
% 1.84/2.00 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V2) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #314: exists( #22, #312 ), references = 1, size of lhs = 1:
% 1.84/2.00 pppp1-{F}(V0,V1) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #316: exists( #15, #313 ), references = 1, size of lhs = 1:
% 1.84/2.00 pppp2-{F}(V0) | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 #318: exists( #14, #315 ), references = 1, size of lhs = 0:
% 1.84/2.00 FALSE | FALSE
% 1.84/2.00 (used 0 times, uses = {})
% 1.84/2.00
% 1.84/2.00 number of learnt formulas = 48
% 1.84/2.00
% 1.84/2.00
% 1.84/2.00 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.00
% 1.84/2.00 randbase = 1
%------------------------------------------------------------------------------