TSTP Solution File: GEO197+2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO197+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:02:00 EDT 2022
% Result : Theorem 1.11s 1.32s
% Output : Refutation 1.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO197+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:05:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.11/1.32 GeoParameters:
% 1.11/1.32
% 1.11/1.32 tptp_input = 1
% 1.11/1.32 tptp_output = 0
% 1.11/1.32 nonempty = 1
% 1.11/1.32 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.32 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.11/1.32
% 1.11/1.32
% 1.11/1.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.32 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.32
% 1.11/1.32 RuleSystem INPUT:
% 1.11/1.32
% 1.11/1.32 Initial Rules:
% 1.11/1.32 #0: input, references = 13, size of lhs = 1:
% 1.11/1.32 distinct_points-{F}(V0,V0) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #1: input, references = 3, size of lhs = 1:
% 1.11/1.32 distinct_lines-{F}(V0,V0) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #2: input, references = 4, size of lhs = 1:
% 1.11/1.32 convergent_lines-{F}(V0,V0) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #3: input, references = 4, size of lhs = 2:
% 1.11/1.32 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #4: input, references = 4, size of lhs = 2:
% 1.11/1.32 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #5: input, references = 8, size of lhs = 2:
% 1.11/1.32 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #6: input, references = 6, size of lhs = 3:
% 1.11/1.32 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #7: input, references = 3, size of lhs = 3:
% 1.11/1.32 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #8: input, references = 15, size of lhs = 3:
% 1.11/1.32 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #9: input, references = 8, size of lhs = 3:
% 1.11/1.32 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #10: input, references = 5, size of lhs = 2:
% 1.11/1.32 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)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #11: input, references = 5, size of lhs = 2:
% 1.11/1.32 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #12: input, references = 3, size of lhs = 2:
% 1.11/1.32 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #13: input, references = 4, size of lhs = 1:
% 1.11/1.32 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #14: input, references = 4, size of lhs = 0:
% 1.11/1.32 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #15: input, references = 4, size of lhs = 1:
% 1.11/1.32 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #16: input, references = 5, size of lhs = 2:
% 1.11/1.32 pppp1-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2) | EXISTS V3: pppp0-{T}(V3,V0,V1,V2)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #17: input, references = 5, size of lhs = 2:
% 1.11/1.32 pppp1-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2) | convergent_lines-{T}(V1,V0)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #18: input, references = 11, size of lhs = 2:
% 1.11/1.32 pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | apart_point_and_line-{T}(V3,V0)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #19: input, references = 5, size of lhs = 3:
% 1.11/1.32 pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), apart_point_and_line-{F}(V4,V2) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #20: input, references = 9, size of lhs = 2:
% 1.11/1.32 pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | convergent_lines-{T}(V0,V2)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #21: input, references = 5, size of lhs = 2:
% 1.11/1.32 pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | convergent_lines-{T}(V0,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #22: input, references = 3, size of lhs = 2:
% 1.11/1.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #23: input, references = 18, size of lhs = 2:
% 1.11/1.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 number of initial rules = 24
% 1.11/1.32
% 1.11/1.32 Simplifiers:
% 1.11/1.32 #24: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #25: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #26: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #27: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #28: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #29: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #30: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #31: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #32: unsound, references = 3, size of lhs = 3:
% 1.11/1.32 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 number of simplifiers = 9
% 1.11/1.32
% 1.11/1.32 Learnt:
% 1.11/1.32 #35: exists( #23, #33 ), references = 1, size of lhs = 1:
% 1.11/1.32 pppp1-{F}(V0,V0) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #41: disj( #5, input ), references = 11, size of lhs = 1:
% 1.11/1.32 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #43: disj( #4, input ), references = 1, size of lhs = 1:
% 1.11/1.32 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #50: exists( #23, #48 ), references = 2, size of lhs = 3:
% 1.11/1.32 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V4,V2) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #52: disj( #5, exists( #23, #48 ) ), references = 1, size of lhs = 3:
% 1.11/1.32 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V2,V3), pppp0-{F}(V2,V4,V5,V3) | convergent_lines-{T}(V1,V2)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #59: mergings( V1 == V6, V3 == V7, V4 == V5; #55 ), references = 1, size of lhs = 2:
% 1.11/1.32 P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V0,V2) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #61: disj( #3, input ), references = 6, size of lhs = 1:
% 1.11/1.32 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #65: disj( #10, #9+#0, #9+#0, #9+#0 ), references = 9, size of lhs = 8:
% 1.11/1.32 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V3), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V6), distinct_points-{F}(V6,V3) | apart_point_and_line-{T}(V6,V2)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #77: mergings( V7 == V4, V5 == V8; #74 ), references = 2, size of lhs = 7:
% 1.11/1.32 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V3), convergent_lines-{F}(V5,V1), pppp0-{F}(V5,V1,V2,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #82: mergings( V7 == V4, V5 == V8; #79 ), references = 1, size of lhs = 7:
% 1.11/1.32 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), distinct_lines-{F}(V1,V3), P_intersection_point-{F}(V0,V1,V4), convergent_lines-{F}(V5,V3), P_intersection_point-{F}(V5,V3,V4), pppp0-{F}(V6,V1,V3,V4) | convergent_lines-{T}(V2,V6)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #87: mergings( V4 == V7, V5 == V8; #84 ), references = 1, size of lhs = 6:
% 1.11/1.32 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V3), pppp0-{F}(V5,V1,V2,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #89: exists( #16, #84 ), references = 1, size of lhs = 7:
% 1.11/1.32 convergent_lines-{F}(V0,V1), pppp1-{F}(V1,V2), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V2,V1,V3), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #92: disj( #5, #41+#88 ), references = 3, size of lhs = 7:
% 1.11/1.32 convergent_lines-{F}(V0,V1), pppp1-{F}(V1,V2), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V1,V4), P_intersection_point-{F}(V0,V1,V4), P_intersection_point-{F}(V5,V2,V4) | convergent_lines-{T}(V3,V5)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #115: mergings( V10 == V5, V9 == V11; #112 ), references = 1, size of lhs = 9:
% 1.11/1.32 convergent_lines-{F}(V0,V1), pppp1-{F}(V1,V2), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V2,V1,V3), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V4,V2,V3), P_intersection_point-{F}(V4,V5,V6), P_line_connecting-{F}(V7,V6,V5), pppp0-{F}(V5,V8,V2,V7) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #142: mergings( V5 == V16, V10 == V12; #139 ), references = 1, size of lhs = 19:
% 1.11/1.32 convergent_lines-{F}(V0,V1), pppp1-{F}(V1,V2), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V2,V1,V3), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V4,V2,V3), convergent_lines-{F}(V5,V6), distinct_lines-{F}(V6,V7), convergent_lines-{F}(V7,V6), P_intersection_point-{F}(V4,V7,V8), P_intersection_point-{F}(V5,V6,V8), convergent_lines-{F}(V9,V6), P_intersection_point-{F}(V9,V6,V10), pppp0-{F}(V7,V6,V2,V10), distinct_lines-{F}(V6,V11), convergent_lines-{F}(V12,V11), P_intersection_point-{F}(V12,V11,V10), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V8) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #157: exists( #23, #155 ), references = 2, size of lhs = 4:
% 1.11/1.32 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V2,V1), pppp0-{F}(V1,V4,V5,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #164: mergings( V1 == V7, V3 == V8, V4 == V6; #160 ), references = 1, size of lhs = 3:
% 1.11/1.32 P_intersection_point-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V2,V1), pppp0-{F}(V1,V4,V0,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #182: exists( #23, #180 ), references = 2, size of lhs = 14:
% 1.11/1.32 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V3), convergent_lines-{F}(V2,V5), P_intersection_point-{F}(V2,V5,V6), convergent_lines-{F}(V7,V1), P_intersection_point-{F}(V7,V1,V6), distinct_lines-{F}(V1,V8), convergent_lines-{F}(V8,V1), pppp0-{F}(V8,V1,V9,V3), convergent_lines-{F}(V10,V8), P_intersection_point-{F}(V10,V8,V6) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #191: mergings( V4 == V1, V12 == V11, V6 == V13; #187 ), references = 1, size of lhs = 13:
% 1.11/1.32 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V3), convergent_lines-{F}(V2,V5), P_intersection_point-{F}(V2,V5,V6), convergent_lines-{F}(V7,V1), P_intersection_point-{F}(V7,V1,V6), distinct_lines-{F}(V1,V8), convergent_lines-{F}(V8,V1), P_intersection_point-{F}(V9,V8,V6), pppp0-{F}(V8,V1,V9,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #223: mergings( V9 == V11, V5 == V12, V12 == V13; #219 ), references = 1, size of lhs = 13:
% 1.11/1.32 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V3), convergent_lines-{F}(V2,V5), P_intersection_point-{F}(V2,V5,V6), convergent_lines-{F}(V7,V1), P_intersection_point-{F}(V7,V1,V6), distinct_lines-{F}(V1,V8), P_intersection_point-{F}(V9,V8,V6), convergent_lines-{F}(V9,V1), pppp0-{F}(V9,V1,V8,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #244: disj( #11, #61+#65+#8+#0 ), references = 1, size of lhs = 10:
% 1.11/1.32 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), apart_point_and_line-{F}(V3,V4), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V3), convergent_lines-{F}(V6,V1), P_intersection_point-{F}(V6,V1,V7), convergent_lines-{F}(V2,V8), P_intersection_point-{F}(V2,V8,V7) | apart_point_and_line-{T}(V7,V4)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #251: disj( #11, #6+#0 ), references = 1, size of lhs = 3:
% 1.11/1.32 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), P_line_connecting-{F}(V0,V3,V2) | apart_point_and_line-{T}(V3,V1)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #259: disj( #10, input, #9+#0, #9+#0 ), references = 1, size of lhs = 8:
% 1.11/1.32 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), distinct_points-{F}(V5,V3), P_intersection_point-{F}(V6,V7,V3), pppp0-{F}(V6,V7,V0,V8) | apart_point_and_line-{T}(V5,V0)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #267: mergings( V7 == V3, V5 == V8; #264 ), references = 2, size of lhs = 7:
% 1.11/1.32 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V3), convergent_lines-{F}(V5,V1), pppp0-{F}(V5,V1,V0,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #272: mergings( V7 == V3, V5 == V8; #269 ), references = 1, size of lhs = 7:
% 1.11/1.32 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V4), pppp0-{F}(V6,V1,V0,V4) | convergent_lines-{T}(V2,V6)
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #277: mergings( V3 == V7, V5 == V8; #274 ), references = 1, size of lhs = 6:
% 1.11/1.32 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V3), pppp0-{F}(V5,V1,V0,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #279: exists( #16, #274 ), references = 1, size of lhs = 7:
% 1.11/1.32 convergent_lines-{F}(V0,V1), pppp1-{F}(V1,V2), distinct_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V3) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #283: exists( #23, #281 ), references = 1, size of lhs = 1:
% 1.11/1.32 pppp1-{F}(V0,V1) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #285: exists( #15, #282 ), references = 1, size of lhs = 1:
% 1.11/1.32 pppp2-{F}(V0) | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 #287: exists( #14, #284 ), references = 1, size of lhs = 0:
% 1.11/1.32 FALSE | FALSE
% 1.11/1.32 (used 0 times, uses = {})
% 1.11/1.32
% 1.11/1.32 number of learnt formulas = 30
% 1.11/1.32
% 1.11/1.32
% 1.11/1.32 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.32
% 1.11/1.32 randbase = 1
%------------------------------------------------------------------------------