%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 1.44s 1.60s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n013.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 18:06:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.44/1.60 GeoParameters:
% 1.44/1.60
% 1.44/1.60 tptp_input = 1
% 1.44/1.60 tptp_output = 0
% 1.44/1.60 nonempty = 1
% 1.44/1.60 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/1.60 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.44/1.60
% 1.44/1.60
% 1.44/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/1.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/1.60
% 1.44/1.60 RuleSystem INPUT:
% 1.44/1.60
% 1.44/1.60 Initial Rules:
% 1.44/1.60 #0: input, references = 3, size of lhs = 1:
% 1.44/1.60 distinct_points-{F}(V0,V0) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #1: input, references = 3, size of lhs = 1:
% 1.44/1.60 distinct_lines-{F}(V0,V0) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #2: input, references = 5, size of lhs = 1:
% 1.44/1.60 convergent_lines-{F}(V0,V0) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #3: input, references = 4, size of lhs = 2:
% 1.44/1.60 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #4: input, references = 5, size of lhs = 2:
% 1.44/1.60 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #5: input, references = 7, size of lhs = 2:
% 1.44/1.60 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #6: input, references = 4, size of lhs = 3:
% 1.44/1.60 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #7: input, references = 8, size of lhs = 3:
% 1.44/1.60 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #8: input, references = 9, size of lhs = 3:
% 1.44/1.60 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #9: input, references = 13, size of lhs = 3:
% 1.44/1.60 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #10: input, references = 5, size of lhs = 2:
% 1.44/1.60 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)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #11: input, references = 6, size of lhs = 2:
% 1.44/1.60 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #12: input, references = 4, size of lhs = 2:
% 1.44/1.60 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #13: input, references = 4, size of lhs = 2:
% 1.44/1.60 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #14: input, references = 4, size of lhs = 0:
% 1.44/1.60 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #15: input, references = 4, size of lhs = 1:
% 1.44/1.60 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #16: input, references = 4, size of lhs = 2:
% 1.44/1.60 pppp1-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2) | EXISTS V3: pppp0-{T}(V3,V0,V1,V2)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #17: input, references = 5, size of lhs = 2:
% 1.44/1.60 pppp1-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2) | convergent_lines-{T}(V1,V0)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #18: input, references = 21, size of lhs = 2:
% 1.44/1.60 pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | apart_point_and_line-{T}(V3,V0)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #19: input, references = 3, size of lhs = 3:
% 1.44/1.60 pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), apart_point_and_line-{F}(V4,V2) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #20: input, references = 3, size of lhs = 2:
% 1.44/1.60 pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | convergent_lines-{T}(V0,V2)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #21: input, references = 4, size of lhs = 2:
% 1.44/1.60 pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | convergent_lines-{T}(V0,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #22: input, references = 4, size of lhs = 2:
% 1.44/1.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #23: input, references = 21, size of lhs = 2:
% 1.44/1.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 number of initial rules = 24
% 1.44/1.60
% 1.44/1.60 Simplifiers:
% 1.44/1.60 #24: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #25: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #26: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #27: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #28: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #29: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #30: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #31: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #32: unsound, references = 3, size of lhs = 3:
% 1.44/1.60 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 number of simplifiers = 9
% 1.44/1.60
% 1.44/1.60 Learnt:
% 1.44/1.60 #35: exists( #23, #33 ), references = 1, size of lhs = 1:
% 1.44/1.60 pppp1-{F}(V0,V0) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #37: disj( #13, input ), references = 1, size of lhs = 1:
% 1.44/1.60 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #39: disj( #4, input ), references = 1, size of lhs = 1:
% 1.44/1.60 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #41: disj( #5, input ), references = 1, size of lhs = 1:
% 1.44/1.60 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #49: exists( #23, #47 ), references = 1, size of lhs = 3:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V4,V2) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #51: disj( #5, exists( #23, #47 ) ), references = 2, size of lhs = 3:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V1,V2,V3), pppp0-{F}(V2,V4,V5,V3) | convergent_lines-{T}(V0,V2)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #56: disj( #5, #51+#2 ), references = 1, size of lhs = 3:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V2,V0,V3), pppp0-{F}(V0,V4,V5,V3) | convergent_lines-{T}(V1,V2)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #58: disj( #3, input ), references = 17, size of lhs = 1:
% 1.44/1.60 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #63: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 1.44/1.60 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V2,V1,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V3), distinct_points-{F}(V0,V6), P_line_connecting-{F}(V0,V6,V4) | apart_point_and_line-{T}(V1,V4)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #64: disj( #10, input, input, input ), references = 9, size of lhs = 8:
% 1.44/1.60 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), distinct_points-{F}(V1,V6), P_line_connecting-{F}(V1,V6,V5) | apart_point_and_line-{T}(V2,V5)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #65: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 1.44/1.60 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V5,V4,V2), distinct_points-{F}(V5,V4), distinct_points-{F}(V4,V6), P_line_connecting-{F}(V4,V6,V3) | apart_point_and_line-{T}(V1,V3)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #70: disj( #11, #59+#8 ), references = 1, size of lhs = 7:
% 1.44/1.60 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V0,V5,V6), distinct_lines-{F}(V6,V3) | apart_point_and_line-{T}(V5,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #71: disj( #11, #59+#9 ), references = 8, size of lhs = 7:
% 1.44/1.60 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), P_line_connecting-{F}(V0,V5,V6), distinct_lines-{F}(V6,V3) | apart_point_and_line-{T}(V5,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #76: disj( #11, #68+#8 ), references = 4, size of lhs = 9:
% 1.44/1.60 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), P_line_connecting-{F}(V0,V4,V5), distinct_lines-{F}(V5,V6), P_line_connecting-{F}(V0,V7,V6), convergent_lines-{F}(V6,V8), P_intersection_point-{F}(V6,V8,V4) | apart_point_and_line-{T}(V7,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #77: disj( #11, #68+#9 ), references = 6, size of lhs = 9:
% 1.44/1.60 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), convergent_lines-{F}(V3,V2), P_intersection_point-{F}(V3,V2,V4), P_line_connecting-{F}(V0,V4,V5), distinct_lines-{F}(V5,V6), P_line_connecting-{F}(V0,V7,V6), convergent_lines-{F}(V6,V8), P_intersection_point-{F}(V6,V8,V4) | apart_point_and_line-{T}(V7,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #83: exists( #23, #80 ), references = 1, size of lhs = 10:
% 1.44/1.60 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V5,V3,V6), distinct_lines-{F}(V6,V7), P_line_connecting-{F}(V5,V4,V7), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V3), pppp0-{F}(V1,V9,V10,V5) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #87: exists( #23, #85 ), references = 1, size of lhs = 10:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), P_line_connecting-{F}(V5,V2,V6), distinct_lines-{F}(V6,V7), P_line_connecting-{F}(V5,V4,V7), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V2), pppp0-{F}(V1,V9,V10,V5) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #92: disj( #11, input ), references = 8, size of lhs = 3:
% 1.44/1.60 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3) | distinct_points-{T}(V0,V3)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #93: disj( #11, input ), references = 17, size of lhs = 3:
% 1.44/1.60 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3) | distinct_points-{T}(V0,V3)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #111: exists( #23, #109 ), references = 1, size of lhs = 17:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), P_line_connecting-{F}(V4,V2,V3), P_line_connecting-{F}(V4,V5,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V2), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V9), convergent_lines-{F}(V7,V10), P_intersection_point-{F}(V7,V10,V5), P_line_connecting-{F}(V11,V9,V12), distinct_lines-{F}(V12,V13), P_line_connecting-{F}(V11,V4,V13), convergent_lines-{F}(V13,V14), P_intersection_point-{F}(V13,V14,V9), pppp0-{F}(V7,V15,V16,V11) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #128: exists( #23, #124 ), references = 1, size of lhs = 17:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V4), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V4), P_line_connecting-{F}(V4,V6,V7), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V9), P_line_connecting-{F}(V9,V2,V10), distinct_lines-{F}(V10,V11), P_line_connecting-{F}(V9,V6,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V2), P_line_connecting-{F}(V9,V4,V13), distinct_lines-{F}(V13,V7), pppp0-{F}(V0,V14,V15,V9) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #129: exists( #23, #125 ), references = 1, size of lhs = 17:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V4), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V4), P_line_connecting-{F}(V4,V6,V7), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V9), P_line_connecting-{F}(V9,V2,V10), distinct_lines-{F}(V10,V11), P_line_connecting-{F}(V9,V6,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V2), P_line_connecting-{F}(V9,V4,V13), distinct_lines-{F}(V13,V7), pppp0-{F}(V0,V14,V15,V9) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #133: exists( #23, #131 ), references = 1, size of lhs = 10:
% 1.44/1.60 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_line_connecting-{F}(V5,V2,V6), distinct_lines-{F}(V6,V7), P_line_connecting-{F}(V5,V4,V7), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V2), pppp0-{F}(V1,V9,V10,V5) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #162: exists( #23, #158 ), references = 1, size of lhs = 17:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V2), P_line_connecting-{F}(V2,V6,V7), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V9), P_line_connecting-{F}(V9,V2,V10), distinct_lines-{F}(V10,V7), P_line_connecting-{F}(V9,V4,V11), distinct_lines-{F}(V11,V12), P_line_connecting-{F}(V9,V6,V12), convergent_lines-{F}(V12,V13), P_intersection_point-{F}(V12,V13,V4), pppp0-{F}(V1,V14,V15,V9) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #163: exists( #23, #159 ), references = 1, size of lhs = 17:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V2), P_line_connecting-{F}(V2,V6,V7), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V9), P_line_connecting-{F}(V9,V2,V10), distinct_lines-{F}(V10,V7), P_line_connecting-{F}(V9,V4,V11), distinct_lines-{F}(V11,V12), P_line_connecting-{F}(V9,V6,V12), convergent_lines-{F}(V12,V13), P_intersection_point-{F}(V12,V13,V4), pppp0-{F}(V1,V14,V15,V9) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #169: exists( #23, #167 ), references = 1, size of lhs = 11:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), P_line_connecting-{F}(V5,V4,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V5), P_line_connecting-{F}(V8,V2,V7), P_line_connecting-{F}(V8,V5,V9), distinct_lines-{F}(V9,V7), pppp0-{F}(V1,V10,V11,V8) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #186: exists( #23, #180 ), references = 1, size of lhs = 11:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), P_line_connecting-{F}(V4,V5,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V5), P_line_connecting-{F}(V8,V2,V7), P_line_connecting-{F}(V8,V5,V9), distinct_lines-{F}(V9,V7), pppp0-{F}(V1,V10,V11,V8) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #202: exists( #23, #196 ), references = 2, size of lhs = 6:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V2,V4), distinct_lines-{F}(V4,V5), P_line_connecting-{F}(V2,V3,V5), pppp0-{F}(V1,V6,V7,V3) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #205: disj( #4, #64+#7 ), references = 3, size of lhs = 10:
% 1.44/1.60 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V1), distinct_points-{F}(V3,V4), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V1), distinct_points-{F}(V3,V6), P_line_connecting-{F}(V3,V6,V7), P_line_connecting-{F}(V8,V4,V7), distinct_points-{F}(V8,V4) | distinct_lines-{T}(V0,V7)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #233: mergings( V1 == V20, V7 == V21, V8 == V19, V0 == V17; #228 ), references = 1, size of lhs = 17:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V6), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V9), P_line_connecting-{F}(V9,V4,V10), P_line_connecting-{F}(V4,V9,V11), P_line_connecting-{F}(V12,V2,V8), P_line_connecting-{F}(V6,V12,V11), P_line_connecting-{F}(V12,V9,V13), distinct_lines-{F}(V13,V8), P_line_connecting-{F}(V12,V6,V14), distinct_lines-{F}(V14,V10), pppp0-{F}(V1,V15,V16,V12) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #242: exists( #23, #240 ), references = 1, size of lhs = 15:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_line_connecting-{F}(V6,V2,V7), distinct_lines-{F}(V7,V8), convergent_lines-{F}(V9,V8), P_intersection_point-{F}(V9,V8,V6), P_line_connecting-{F}(V10,V2,V5), P_line_connecting-{F}(V2,V10,V8), P_line_connecting-{F}(V10,V6,V11), distinct_lines-{F}(V11,V5), pppp0-{F}(V1,V12,V13,V10) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #256: mergings( V8 == V13, V11 == V16, V13 == V14; #252 ), references = 1, size of lhs = 15:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_line_connecting-{F}(V6,V2,V7), distinct_lines-{F}(V5,V7), P_line_connecting-{F}(V2,V6,V8), convergent_lines-{F}(V9,V5), P_intersection_point-{F}(V9,V5,V6), P_line_connecting-{F}(V10,V2,V5), P_line_connecting-{F}(V10,V6,V11), distinct_lines-{F}(V11,V5), pppp0-{F}(V1,V12,V13,V10) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #261: mergings( V7 == V11, V10 == V14, V11 == V12; #257 ), references = 1, size of lhs = 14:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_line_connecting-{F}(V6,V2,V7), distinct_lines-{F}(V5,V7), convergent_lines-{F}(V8,V5), P_intersection_point-{F}(V8,V5,V6), P_line_connecting-{F}(V9,V2,V5), P_line_connecting-{F}(V9,V6,V10), distinct_lines-{F}(V10,V5), pppp0-{F}(V1,V11,V12,V9) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #267: exists( #23, #265 ), references = 1, size of lhs = 11:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), P_line_connecting-{F}(V4,V5,V1), P_line_connecting-{F}(V6,V2,V7), distinct_lines-{F}(V7,V8), P_line_connecting-{F}(V6,V5,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V2), pppp0-{F}(V1,V10,V11,V6) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #276: disj( #12, input ), references = 1, size of lhs = 3:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3) | distinct_lines-{T}(V3,V1)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #277: disj( #12, input ), references = 1, size of lhs = 3:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3) | distinct_lines-{T}(V3,V0)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #283: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 1.44/1.60 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,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,V2,V8) | apart_point_and_line-{T}(V5,V2)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #284: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 1.44/1.60 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V4,V2,V3), convergent_lines-{F}(V4,V2), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V6), distinct_points-{F}(V6,V3) | apart_point_and_line-{T}(V6,V2)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #295: mergings( V7 == V3, V5 == V8; #291 ), references = 2, size of lhs = 7:
% 1.44/1.60 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-{F}(V5,V1), pppp0-{F}(V5,V1,V2,V3) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #298: mergings( V7 == V3, V5 == V8; #292 ), references = 1, size of lhs = 7:
% 1.44/1.60 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V4,V2,V3), convergent_lines-{F}(V4,V2), convergent_lines-{F}(V5,V1), pppp0-{F}(V5,V1,V2,V3) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #309: mergings( V3 == V4, V9 == V10; #305 ), references = 1, size of lhs = 10:
% 1.44/1.60 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V2,V5,V4), convergent_lines-{F}(V4,V6), P_line_connecting-{F}(V7,V5,V1), P_line_connecting-{F}(V2,V7,V3), P_intersection_point-{F}(V4,V8,V7), pppp0-{F}(V8,V9,V10,V2) | convergent_lines-{T}(V6,V8)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #312: mergings( V3 == V4, V9 == V10; #306 ), references = 1, size of lhs = 10:
% 1.44/1.60 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), distinct_lines-{F}(V0,V4), P_line_connecting-{F}(V3,V5,V4), convergent_lines-{F}(V4,V6), P_line_connecting-{F}(V7,V5,V1), P_line_connecting-{F}(V3,V7,V0), P_intersection_point-{F}(V4,V8,V7), pppp0-{F}(V8,V9,V10,V3) | convergent_lines-{T}(V6,V8)
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #319: mergings( V4 == V7, V5 == V8; #316 ), references = 1, size of lhs = 6:
% 1.44/1.60 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), pppp0-{F}(V5,V1,V2,V3) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #321: exists( #16, #316 ), references = 1, size of lhs = 7:
% 1.44/1.60 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}(V2,V4), P_intersection_point-{F}(V2,V4,V3) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #325: exists( #23, #323 ), references = 1, size of lhs = 1:
% 1.44/1.60 pppp1-{F}(V0,V1) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #327: exists( #15, #324 ), references = 1, size of lhs = 1:
% 1.44/1.60 pppp2-{F}(V0) | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 #329: exists( #14, #326 ), references = 1, size of lhs = 0:
% 1.44/1.60 FALSE | FALSE
% 1.44/1.60 (used 0 times, uses = {})
% 1.44/1.60
% 1.44/1.60 number of learnt formulas = 47
% 1.44/1.60
% 1.44/1.60
% 1.44/1.60 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/1.60
% 1.44/1.60 randbase = 1
%------------------------------------------------------------------------------