%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO198+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:02:01 EDT 2022
% Result : Theorem 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n015.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 18:35:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.77/0.93 GeoParameters:
% 0.77/0.93
% 0.77/0.93 tptp_input = 1
% 0.77/0.93 tptp_output = 0
% 0.77/0.93 nonempty = 1
% 0.77/0.93 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.77/0.93
% 0.77/0.93
% 0.77/0.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93
% 0.77/0.93 RuleSystem INPUT:
% 0.77/0.93
% 0.77/0.93 Initial Rules:
% 0.77/0.93 #0: input, references = 3, size of lhs = 1:
% 0.77/0.93 distinct_points-{F}(V0,V0) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #1: input, references = 3, size of lhs = 1:
% 0.77/0.93 distinct_lines-{F}(V0,V0) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #2: input, references = 4, size of lhs = 1:
% 0.77/0.93 convergent_lines-{F}(V0,V0) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #3: input, references = 4, size of lhs = 2:
% 0.77/0.93 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #4: input, references = 4, size of lhs = 2:
% 0.77/0.93 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #5: input, references = 5, size of lhs = 2:
% 0.77/0.93 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #6: input, references = 5, size of lhs = 3:
% 0.77/0.93 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #7: input, references = 4, size of lhs = 3:
% 0.77/0.93 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #8: input, references = 7, size of lhs = 3:
% 0.77/0.93 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #9: input, references = 6, size of lhs = 3:
% 0.77/0.93 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #10: input, references = 7, size of lhs = 2:
% 0.77/0.93 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)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #11: input, references = 11, size of lhs = 2:
% 0.77/0.93 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #12: input, references = 3, size of lhs = 2:
% 0.77/0.93 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #13: input, references = 4, size of lhs = 2:
% 0.77/0.93 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #14: input, references = 4, size of lhs = 0:
% 0.77/0.93 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #15: input, references = 4, size of lhs = 1:
% 0.77/0.93 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #16: input, references = 4, size of lhs = 1:
% 0.77/0.93 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #17: input, references = 3, size of lhs = 1:
% 0.77/0.93 pppp1-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #18: input, references = 4, size of lhs = 3:
% 0.77/0.93 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | apart_point_and_line-{T}(V4,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #19: input, references = 3, size of lhs = 4:
% 0.77/0.93 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4), apart_point_and_line-{F}(V3,V2) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #20: input, references = 4, size of lhs = 3:
% 0.77/0.93 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | convergent_lines-{T}(V0,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #21: input, references = 5, size of lhs = 3:
% 0.77/0.93 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | convergent_lines-{T}(V0,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #22: input, references = 3, size of lhs = 2:
% 0.77/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #23: input, references = 8, size of lhs = 2:
% 0.77/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of initial rules = 24
% 0.77/0.93
% 0.77/0.93 Simplifiers:
% 0.77/0.93 #24: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #25: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #26: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #27: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #28: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #29: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #30: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #31: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of simplifiers = 8
% 0.77/0.93
% 0.77/0.93 Learnt:
% 0.77/0.93 #34: disj( #13, input ), references = 2, size of lhs = 1:
% 0.77/0.93 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #36: disj( #4, input ), references = 1, size of lhs = 1:
% 0.77/0.93 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #38: disj( #5, input ), references = 2, size of lhs = 1:
% 0.77/0.93 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #43: exists( #23, #39 ), references = 1, size of lhs = 2:
% 0.77/0.93 pppp0-{F}(V0,V0,V1), P_intersection_point-{F}(V0,V0,V2) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #46: exists( #23, #41 ), references = 1, size of lhs = 1:
% 0.77/0.93 pppp0-{F}(V0,V0,V1) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #48: disj( #11, input ), references = 1, size of lhs = 3:
% 0.77/0.93 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)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #54: disj( #10, input, input, input ), references = 2, size of lhs = 8:
% 0.77/0.93 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), P_intersection_point-{F}(V4,V3,V1), convergent_lines-{F}(V4,V3), convergent_lines-{F}(V5,V3), P_intersection_point-{F}(V5,V3,V6), distinct_points-{F}(V6,V1) | apart_point_and_line-{T}(V6,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #55: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.77/0.93 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,V2), P_intersection_point-{F}(V5,V2,V6), distinct_points-{F}(V6,V3) | apart_point_and_line-{T}(V6,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #60: disj( #11, #50+#6 ), references = 1, size of lhs = 7:
% 0.77/0.93 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), apart_point_and_line-{F}(V4,V5), P_line_connecting-{F}(V4,V2,V6), distinct_lines-{F}(V6,V1) | apart_point_and_line-{T}(V2,V5)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #61: disj( #11, #50+#8 ), references = 1, size of lhs = 9:
% 0.77/0.93 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), apart_point_and_line-{F}(V4,V5), P_line_connecting-{F}(V4,V2,V6), distinct_lines-{F}(V6,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V4) | apart_point_and_line-{T}(V2,V5)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #64: disj( #11, input ), references = 1, size of lhs = 3:
% 0.77/0.93 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3) | distinct_points-{T}(V0,V3)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #71: disj( #10, input, input, input ), references = 2, size of lhs = 8:
% 0.77/0.93 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), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V1) | apart_point_and_line-{T}(V3,V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #72: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.77/0.93 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V1), distinct_points-{F}(V0,V6), P_line_connecting-{F}(V0,V6,V4) | apart_point_and_line-{T}(V1,V3)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #77: disj( #11, #67+#9 ), references = 1, size of lhs = 10:
% 0.77/0.93 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), distinct_points-{F}(V6,V4), apart_point_and_line-{F}(V6,V7), P_line_connecting-{F}(V6,V8,V2) | apart_point_and_line-{T}(V8,V7)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #78: disj( #11, #67+#7 ), references = 1, size of lhs = 10:
% 0.77/0.93 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), 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), distinct_points-{F}(V6,V1), apart_point_and_line-{F}(V6,V7), P_line_connecting-{F}(V6,V8,V3) | apart_point_and_line-{T}(V8,V7)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #81: disj( #11, input ), references = 2, size of lhs = 3:
% 0.77/0.93 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3) | distinct_points-{T}(V0,V3)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #83: disj( #3, input ), references = 3, size of lhs = 1:
% 0.77/0.93 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #86: disj( #10, input, input, input ), references = 2, size of lhs = 8:
% 0.77/0.93 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), P_line_connecting-{F}(V4,V3,V1), distinct_points-{F}(V4,V3), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), distinct_points-{F}(V6,V3) | apart_point_and_line-{T}(V6,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #131: disj( #11, #83+#54+#8 ), references = 1, size of lhs = 10:
% 0.77/0.93 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), distinct_points-{F}(V5,V2), distinct_lines-{F}(V6,V1), P_line_connecting-{F}(V7,V2,V6), convergent_lines-{F}(V6,V8), P_intersection_point-{F}(V6,V8,V5) | apart_point_and_line-{T}(V7,V3)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #132: disj( #11, #83+#71+#9 ), references = 1, size of lhs = 9:
% 0.77/0.93 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), apart_point_and_line-{F}(V4,V5), convergent_lines-{F}(V1,V6), P_intersection_point-{F}(V1,V6,V7), P_line_connecting-{F}(V7,V4,V2) | apart_point_and_line-{T}(V7,V5)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #164: disj( #11, #86+#6 ), references = 3, size of lhs = 7:
% 0.77/0.93 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), P_line_connecting-{F}(V5,V3,V1), apart_point_and_line-{F}(V5,V6) | apart_point_and_line-{T}(V3,V6)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #181: disj( #11, #164+#9 ), references = 1, size of lhs = 9:
% 0.77/0.93 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), distinct_lines-{F}(V4,V5), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V3), convergent_lines-{F}(V4,V7), P_intersection_point-{F}(V4,V7,V8), P_line_connecting-{F}(V8,V3,V5) | distinct_points-{T}(V0,V8)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #182: disj( #11, #164+#8 ), references = 1, size of lhs = 9:
% 0.77/0.93 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), distinct_lines-{F}(V4,V5), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V3), convergent_lines-{F}(V4,V7), P_intersection_point-{F}(V4,V7,V8), P_line_connecting-{F}(V8,V3,V5) | distinct_points-{T}(V0,V8)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #196: disj( #10, input, input ), references = 1, size of lhs = 7:
% 0.77/0.93 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), pppp0-{F}(V5,V6,V1), P_intersection_point-{F}(V5,V6,V4), P_intersection_point-{F}(V5,V1,V7) | apart_point_and_line-{T}(V4,V2), apart_point_and_line-{T}(V3,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #198: disj( #194, input ), references = 1, size of lhs = 9:
% 0.77/0.93 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), convergent_lines-{F}(V2,V5), P_intersection_point-{F}(V2,V5,V4), pppp0-{F}(V6,V7,V1), P_intersection_point-{F}(V6,V7,V4), P_intersection_point-{F}(V6,V1,V8) | apart_point_and_line-{T}(V3,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #209: mergings( V4 == V8, V6 == V9, V8 == V10, V9 == V5; #204 ), references = 2, size of lhs = 6:
% 0.77/0.93 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V3,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V3,V1,V5) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #216: mergings( V4 == V5, V2 == V6, V5 == V7, V6 == V8; #211 ), references = 1, size of lhs = 3:
% 0.77/0.93 convergent_lines-{F}(V0,V1), pppp0-{F}(V2,V1,V3), P_intersection_point-{F}(V2,V1,V4) | convergent_lines-{T}(V0,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #223: mergings( V4 == V5, V1 == V6; #220 ), references = 2, size of lhs = 2:
% 0.77/0.93 P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #226: exists( #23, #223 ), references = 1, size of lhs = 1:
% 0.77/0.93 pppp0-{F}(V0,V1,V2) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #228: exists( #16, #224 ), references = 1, size of lhs = 1:
% 0.77/0.93 pppp1-{F}(V0,V1) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #230: exists( #15, #227 ), references = 1, size of lhs = 1:
% 0.77/0.93 pppp2-{F}(V0) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #232: exists( #14, #229 ), references = 1, size of lhs = 0:
% 0.77/0.93 FALSE | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of learnt formulas = 32
% 0.77/0.93
% 0.77/0.93
% 0.77/0.93 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93
% 0.77/0.93 randbase = 1
%------------------------------------------------------------------------------