TSTP Solution File: GEO188+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:01:57 EDT 2022
% Result : Theorem 0.52s 0.75s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 18:12:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.52/0.75 GeoParameters:
% 0.52/0.75
% 0.52/0.75 tptp_input = 1
% 0.52/0.75 tptp_output = 0
% 0.52/0.75 nonempty = 1
% 0.52/0.75 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.75 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.52/0.75
% 0.52/0.75
% 0.52/0.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.75
% 0.52/0.75 RuleSystem INPUT:
% 0.52/0.75
% 0.52/0.75 Initial Rules:
% 0.52/0.75 #0: input, references = 5, size of lhs = 1:
% 0.52/0.75 distinct_points-{F}(V0,V0) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #1: input, references = 3, size of lhs = 1:
% 0.52/0.75 distinct_lines-{F}(V0,V0) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #2: input, references = 3, size of lhs = 1:
% 0.52/0.75 convergent_lines-{F}(V0,V0) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #3: input, references = 6, size of lhs = 2:
% 0.52/0.75 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #4: input, references = 4, size of lhs = 2:
% 0.52/0.75 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #5: input, references = 3, size of lhs = 2:
% 0.52/0.75 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #6: input, references = 8, size of lhs = 3:
% 0.52/0.75 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #7: input, references = 6, size of lhs = 3:
% 0.52/0.75 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #8: input, references = 3, size of lhs = 3:
% 0.52/0.75 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #9: input, references = 3, size of lhs = 3:
% 0.52/0.75 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #10: input, references = 5, size of lhs = 2:
% 0.52/0.75 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)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #11: input, references = 6, size of lhs = 2:
% 0.52/0.75 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #12: input, references = 4, size of lhs = 2:
% 0.52/0.75 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #13: input, references = 3, size of lhs = 2:
% 0.52/0.75 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #14: input, references = 4, size of lhs = 0:
% 0.52/0.75 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #15: input, references = 4, size of lhs = 1:
% 0.52/0.75 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #16: input, references = 5, size of lhs = 2:
% 0.52/0.75 pppp1-{F}(V0,V1), P_line_connecting-{F}(V1,V0,V2) | EXISTS V3: pppp0-{T}(V3,V0,V1,V2)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #17: input, references = 5, size of lhs = 2:
% 0.52/0.75 pppp1-{F}(V0,V1), P_line_connecting-{F}(V1,V0,V2) | distinct_points-{T}(V0,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #18: input, references = 8, size of lhs = 2:
% 0.52/0.75 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V1,V4) | apart_point_and_line-{T}(V0,V3)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #19: input, references = 4, size of lhs = 3:
% 0.52/0.75 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V1,V4), apart_point_and_line-{F}(V2,V4) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #20: input, references = 5, size of lhs = 2:
% 0.52/0.75 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V1,V4) | distinct_points-{T}(V0,V2)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #21: input, references = 5, size of lhs = 2:
% 0.52/0.75 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V1,V4) | distinct_points-{T}(V0,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #22: input, references = 12, size of lhs = 2:
% 0.52/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #23: input, references = 3, size of lhs = 2:
% 0.52/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 number of initial rules = 24
% 0.52/0.75
% 0.52/0.75 Simplifiers:
% 0.52/0.75 #24: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #25: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #26: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #27: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #28: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #29: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #30: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #31: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #32: unsound, references = 3, size of lhs = 3:
% 0.52/0.75 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 number of simplifiers = 9
% 0.52/0.75
% 0.52/0.75 Learnt:
% 0.52/0.75 #35: exists( #22, #33 ), references = 1, size of lhs = 1:
% 0.52/0.75 pppp1-{F}(V0,V0) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #37: disj( #3, input ), references = 6, size of lhs = 1:
% 0.52/0.75 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #48: exists( #22, #46 ), references = 3, size of lhs = 3:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V4,V2) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #54: mergings( V3 == V5, V4 == V6; #51 ), references = 1, size of lhs = 2:
% 0.52/0.75 P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V1,V2) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #57: disj( #12, input ), references = 1, size of lhs = 3:
% 0.52/0.75 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #58: disj( #12, input ), references = 5, size of lhs = 3:
% 0.52/0.75 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #60: disj( #10, input, input, input ), references = 7, size of lhs = 8:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V5,V4,V3), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V6,V4,V2), distinct_points-{F}(V6,V4) | apart_point_and_line-{T}(V1,V3)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #73: disj( #11, #37+#7 ), references = 1, size of lhs = 3:
% 0.52/0.75 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), P_line_connecting-{F}(V3,V0,V2) | apart_point_and_line-{T}(V3,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #74: disj( #11, #37+#48 ), references = 1, size of lhs = 3:
% 0.52/0.75 apart_point_and_line-{F}(V0,V1), P_line_connecting-{F}(V2,V0,V3), pppp0-{F}(V0,V4,V5,V3) | apart_point_and_line-{T}(V2,V1)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #80: exists( #22, #78 ), references = 1, size of lhs = 13:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V3,V4), pppp0-{F}(V3,V5,V6,V4), distinct_points-{F}(V7,V8), P_line_connecting-{F}(V7,V8,V2), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V8,V9,V4), distinct_points-{F}(V10,V8), P_line_connecting-{F}(V11,V10,V4), distinct_points-{F}(V11,V10), P_line_connecting-{F}(V12,V10,V2), distinct_points-{F}(V12,V10) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #92: mergings( V1 == V6, V3 == V7, V4 == V5; #87 ), references = 1, size of lhs = 2:
% 0.52/0.75 P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V0,V2) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #103: disj( #11, input ), references = 1, size of lhs = 3:
% 0.52/0.75 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)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #110: disj( #11, #58+#60+#6 ), references = 3, size of lhs = 12:
% 0.52/0.75 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V4), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V1), distinct_points-{F}(V8,V6), P_line_connecting-{F}(V9,V8,V1), distinct_points-{F}(V9,V8), P_line_connecting-{F}(V10,V8,V4), distinct_points-{F}(V10,V8) | distinct_points-{T}(V0,V2)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #126: disj( #4, #60+#6 ), references = 1, size of lhs = 10:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_lines-{F}(V4,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V7,V6,V4), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V8,V6,V2), distinct_points-{F}(V8,V6) | distinct_lines-{T}(V5,V2)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #127: disj( #4, #60+#110+#0 ), references = 1, size of lhs = 19:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V7), distinct_lines-{F}(V7,V8), P_line_connecting-{F}(V9,V5,V2), distinct_points-{F}(V9,V5), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V4), distinct_points-{F}(V11,V12), P_line_connecting-{F}(V11,V12,V7), distinct_points-{F}(V13,V11), P_line_connecting-{F}(V14,V13,V7), distinct_points-{F}(V14,V13), P_line_connecting-{F}(V15,V13,V4), distinct_points-{F}(V15,V13) | distinct_lines-{T}(V8,V2)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #128: disj( #4, #60+#110+#7 ), references = 1, size of lhs = 20:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), P_line_connecting-{F}(V1,V1,V5), distinct_lines-{F}(V5,V6), distinct_points-{F}(V7,V1), P_line_connecting-{F}(V8,V7,V5), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V9,V7,V2), distinct_points-{F}(V9,V7), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V4), distinct_points-{F}(V11,V12), P_line_connecting-{F}(V11,V12,V5), distinct_points-{F}(V13,V11), P_line_connecting-{F}(V14,V13,V5), distinct_points-{F}(V14,V13), P_line_connecting-{F}(V15,V13,V4), distinct_points-{F}(V15,V13) | distinct_lines-{T}(V6,V2)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #136: mergings( V3 == V13, V4 == V15; #133 ), references = 2, size of lhs = 16:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V6,V5,V4), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V7,V5,V2), distinct_points-{F}(V7,V5), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V8,V9,V2), distinct_points-{F}(V10,V9), distinct_points-{F}(V11,V10), pppp0-{F}(V11,V10,V9,V4), P_line_connecting-{F}(V12,V10,V2), distinct_points-{F}(V12,V10) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #141: mergings( V13 == V12, V7 == V15; #138 ), references = 1, size of lhs = 16:
% 0.52/0.75 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), distinct_points-{F}(V3,V2), P_line_connecting-{F}(V3,V2,V4), P_line_connecting-{F}(V5,V1,V4), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V4), distinct_points-{F}(V7,V8), P_line_connecting-{F}(V7,V8,V9), pppp0-{F}(V10,V1,V2,V9), distinct_points-{F}(V11,V7), P_line_connecting-{F}(V12,V11,V9), distinct_points-{F}(V12,V11), P_line_connecting-{F}(V13,V11,V4), distinct_points-{F}(V13,V11) | distinct_points-{T}(V0,V10)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #149: mergings( V12 == V14, V7 == V15; #146 ), references = 1, size of lhs = 15:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V6,V5,V4), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V7,V5,V2), distinct_points-{F}(V7,V5), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V8,V9,V2), distinct_points-{F}(V10,V9), P_line_connecting-{F}(V11,V10,V2), distinct_points-{F}(V11,V10), pppp0-{F}(V12,V10,V9,V4) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #151: exists( #16, #146 ), references = 1, size of lhs = 16:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V6,V5,V4), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V7,V5,V2), distinct_points-{F}(V7,V5), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V8,V9,V2), pppp1-{F}(V10,V9), P_line_connecting-{F}(V9,V10,V4), distinct_points-{F}(V10,V9), P_line_connecting-{F}(V11,V10,V2), distinct_points-{F}(V11,V10) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #154: disj( #3, #37+#150 ), references = 1, size of lhs = 14:
% 0.52/0.75 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V1,V3), P_line_connecting-{F}(V1,V3,V4), distinct_points-{F}(V5,V1), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V7,V5,V2), P_line_connecting-{F}(V8,V5,V4), distinct_points-{F}(V8,V5), pppp1-{F}(V5,V9), P_line_connecting-{F}(V9,V5,V4), distinct_points-{F}(V5,V9), distinct_points-{F}(V10,V9), P_line_connecting-{F}(V10,V9,V2) | distinct_points-{T}(V6,V7)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #158: disj( #10, input, input ), references = 1, size of lhs = 6:
% 0.52/0.75 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)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #160: disj( #157, input ), references = 1, size of lhs = 8:
% 0.52/0.75 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), P_line_connecting-{F}(V6,V7,V4), pppp0-{F}(V6,V7,V2,V8) | apart_point_and_line-{T}(V2,V3)
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #170: mergings( V7 == V5, V5 == V8, V4 == V10, V10 == V9; #165 ), references = 1, size of lhs = 6:
% 0.52/0.75 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), pppp0-{F}(V5,V1,V3,V2) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #172: exists( #16, #165 ), references = 1, size of lhs = 7:
% 0.52/0.75 distinct_points-{F}(V0,V1), pppp1-{F}(V1,V2), distinct_points-{F}(V1,V2), 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) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #176: exists( #22, #174 ), references = 1, size of lhs = 1:
% 0.52/0.75 pppp1-{F}(V0,V1) | FALSE
% 0.52/0.75 (used 0 times, uses = {})
% 0.52/0.75
% 0.52/0.75 #178: exists( #15, #175 ), references = 1, size of lhs = 1:
% 0.61/0.75 pppp2-{F}(V0) | FALSE
% 0.61/0.75 (used 0 times, uses = {})
% 0.61/0.75
% 0.61/0.75 #180: exists( #14, #177 ), references = 1, size of lhs = 0:
% 0.61/0.75 FALSE | FALSE
% 0.61/0.75 (used 0 times, uses = {})
% 0.61/0.75
% 0.61/0.75 number of learnt formulas = 28
% 0.61/0.75
% 0.61/0.75
% 0.61/0.75 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.75
% 0.61/0.75 randbase = 1
%------------------------------------------------------------------------------