TSTP Solution File: GEO181+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:01:54 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 18:21:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 GeoParameters:
% 0.18/0.51
% 0.18/0.51 tptp_input = 1
% 0.18/0.51 tptp_output = 0
% 0.18/0.51 nonempty = 1
% 0.18/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 RuleSystem INPUT:
% 0.18/0.51
% 0.18/0.51 Initial Rules:
% 0.18/0.51 #0: input, references = 6, size of lhs = 1:
% 0.18/0.51 distinct_points-{F}(V0,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #1: input, references = 3, size of lhs = 1:
% 0.18/0.51 distinct_lines-{F}(V0,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #2: input, references = 3, size of lhs = 1:
% 0.18/0.51 convergent_lines-{F}(V0,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #3: input, references = 6, size of lhs = 2:
% 0.18/0.51 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #4: input, references = 4, size of lhs = 2:
% 0.18/0.51 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #5: input, references = 3, size of lhs = 2:
% 0.18/0.51 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #6: input, references = 4, size of lhs = 3:
% 0.18/0.51 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #7: input, references = 4, size of lhs = 3:
% 0.18/0.51 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #8: input, references = 3, size of lhs = 3:
% 0.18/0.51 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #9: input, references = 3, size of lhs = 3:
% 0.18/0.51 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #10: input, references = 5, size of lhs = 2:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #11: input, references = 6, size of lhs = 2:
% 0.18/0.51 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #12: input, references = 4, size of lhs = 2:
% 0.18/0.51 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #13: input, references = 3, size of lhs = 2:
% 0.18/0.51 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #14: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #15: input, references = 4, size of lhs = 1:
% 0.18/0.51 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #16: input, references = 5, size of lhs = 2:
% 0.18/0.51 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V1,V3,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #17: input, references = 5, size of lhs = 2:
% 0.18/0.51 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | distinct_points-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #18: input, references = 5, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V2,V4), apart_point_and_line-{F}(V1,V4) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #19: input, references = 8, size of lhs = 2:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V2,V4) | apart_point_and_line-{T}(V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #20: input, references = 8, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #21: input, references = 3, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of initial rules = 22
% 0.18/0.51
% 0.18/0.51 Simplifiers:
% 0.18/0.51 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of simplifiers = 9
% 0.18/0.51
% 0.18/0.51 Learnt:
% 0.18/0.51 #33: exists( #20, #31 ), references = 1, size of lhs = 1:
% 0.18/0.51 pppp1-{F}(V0,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #35: disj( #3, input ), references = 8, size of lhs = 1:
% 0.18/0.51 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #40: disj( #11, input ), references = 3, size of lhs = 3:
% 0.18/0.51 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #42: disj( #12, input ), references = 2, size of lhs = 3:
% 0.18/0.51 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #44: disj( #10, input, input, input ), references = 2, size of lhs = 8:
% 0.18/0.51 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_lines-{F}(V5,V3), distinct_points-{F}(V0,V6), P_line_connecting-{F}(V0,V6,V3) | apart_point_and_line-{T}(V1,V5)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #47: disj( #4, input ), references = 1, size of lhs = 1:
% 0.18/0.51 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #51: disj( #10, input, input, input ), references = 3, size of lhs = 8:
% 0.18/0.51 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}(V2,V6), P_line_connecting-{F}(V2,V6,V5) | apart_point_and_line-{T}(V1,V5)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #52: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.18/0.51 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V1,V4), P_line_connecting-{F}(V1,V4,V3), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V6,V5,V2), distinct_points-{F}(V6,V5) | apart_point_and_line-{T}(V5,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #59: mergings( V3 == V6, V4 == V8; #56 ), references = 3, size of lhs = 7:
% 0.18/0.51 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V3,V5), pppp0-{F}(V3,V1,V5,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #63: mergings( V7 == V4, V5 == V8; #60 ), references = 3, size of lhs = 7:
% 0.18/0.51 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V3), pppp0-{F}(V1,V4,V6,V3) | distinct_points-{T}(V0,V6)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #75: mergings( V4 == V0, V8 == V10, V7 == V5; #70 ), references = 1, size of lhs = 8:
% 0.18/0.51 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V2), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V2), pppp0-{F}(V1,V4,V6,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #79: mergings( V4 == V0, V8 == V10, V7 == V5; #71 ), references = 1, size of lhs = 8:
% 0.18/0.51 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V2), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V2), pppp0-{F}(V1,V4,V6,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #82: exists( #16, #70 ), references = 1, size of lhs = 9:
% 0.18/0.51 distinct_points-{F}(V0,V1), pppp1-{F}(V1,V2), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V0,V1,V3), distinct_points-{F}(V1,V4), P_line_connecting-{F}(V1,V4,V3), distinct_points-{F}(V5,V2), P_line_connecting-{F}(V5,V2,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #83: exists( #16, #71 ), references = 1, size of lhs = 9:
% 0.18/0.51 distinct_points-{F}(V0,V1), pppp1-{F}(V1,V2), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V0,V1,V3), distinct_points-{F}(V1,V4), P_line_connecting-{F}(V1,V4,V3), distinct_points-{F}(V5,V2), P_line_connecting-{F}(V5,V2,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #88: disj( #3, #35+#80 ), references = 1, size of lhs = 9:
% 0.18/0.51 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), pppp1-{F}(V2,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V1,V4), P_line_connecting-{F}(V0,V1,V4), P_line_connecting-{F}(V5,V2,V4), distinct_points-{F}(V2,V6), P_line_connecting-{F}(V2,V6,V4) | distinct_points-{T}(V3,V5)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #89: disj( #3, #35+#81 ), references = 1, size of lhs = 9:
% 0.18/0.51 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), pppp1-{F}(V2,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V1,V4), P_line_connecting-{F}(V0,V1,V4), P_line_connecting-{F}(V5,V2,V4), distinct_points-{F}(V2,V6), P_line_connecting-{F}(V2,V6,V4) | distinct_points-{T}(V3,V5)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #100: disj( #11, #35+#51+#6 ), references = 1, size of lhs = 10:
% 0.18/0.51 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), distinct_points-{F}(V3,V4), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_line_connecting-{F}(V2,V3,V6), distinct_lines-{F}(V6,V7), P_line_connecting-{F}(V4,V0,V7), distinct_points-{F}(V3,V8), P_line_connecting-{F}(V3,V8,V7) | apart_point_and_line-{T}(V4,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #101: disj( #11, #35+#44+#7 ), references = 1, size of lhs = 10:
% 0.18/0.51 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), P_line_connecting-{F}(V2,V0,V5), distinct_points-{F}(V2,V6), P_line_connecting-{F}(V2,V6,V7), distinct_lines-{F}(V7,V5), P_line_connecting-{F}(V8,V3,V7), distinct_points-{F}(V8,V3) | apart_point_and_line-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #102: disj( #11, #35+#51+#18 ), references = 1, size of lhs = 10:
% 0.18/0.51 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), distinct_points-{F}(V3,V4), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V6), P_line_connecting-{F}(V2,V3,V6), distinct_lines-{F}(V6,V7), P_line_connecting-{F}(V4,V0,V7), P_line_connecting-{F}(V8,V9,V7), pppp0-{F}(V8,V3,V9,V10) | apart_point_and_line-{T}(V4,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #106: disj( #11, input ), references = 3, size of lhs = 3:
% 0.18/0.51 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V1) | distinct_points-{T}(V0,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #118: mergings( V5 == V0, V4 == V10, V9 == V7; #113 ), references = 1, size of lhs = 8:
% 0.18/0.51 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_points-{F}(V2,V5), P_line_connecting-{F}(V2,V5,V4), pppp0-{F}(V2,V1,V6,V4) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #122: mergings( V5 == V0, V4 == V10, V9 == V7; #114 ), references = 1, size of lhs = 8:
% 0.18/0.51 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_points-{F}(V2,V5), P_line_connecting-{F}(V2,V5,V4), pppp0-{F}(V2,V1,V6,V4) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #125: exists( #16, #113 ), references = 1, size of lhs = 9:
% 0.18/0.51 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), pppp1-{F}(V2,V1), P_line_connecting-{F}(V2,V1,V3), P_line_connecting-{F}(V0,V1,V3), distinct_points-{F}(V2,V4), P_line_connecting-{F}(V2,V4,V3), distinct_points-{F}(V2,V5), P_line_connecting-{F}(V2,V5,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #126: exists( #16, #114 ), references = 1, size of lhs = 9:
% 0.18/0.51 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), pppp1-{F}(V2,V1), P_line_connecting-{F}(V2,V1,V3), P_line_connecting-{F}(V0,V1,V3), distinct_points-{F}(V2,V4), P_line_connecting-{F}(V2,V4,V3), distinct_points-{F}(V2,V5), P_line_connecting-{F}(V2,V5,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #133: exists( #20, #129 ), references = 1, size of lhs = 1:
% 0.18/0.51 pppp1-{F}(V0,V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #136: exists( #15, #131 ), references = 1, size of lhs = 1:
% 0.18/0.51 pppp2-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #139: exists( #14, #134 ), references = 1, size of lhs = 0:
% 0.18/0.51 FALSE | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of learnt formulas = 27
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 randbase = 1
%------------------------------------------------------------------------------