TSTP Solution File: GEO188+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 0.66s 0.84s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.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 18:38:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.66/0.84 GeoParameters:
% 0.66/0.84
% 0.66/0.84 tptp_input = 1
% 0.66/0.84 tptp_output = 0
% 0.66/0.84 nonempty = 1
% 0.66/0.84 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.84 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.66/0.84
% 0.66/0.84
% 0.66/0.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.84
% 0.66/0.84 RuleSystem INPUT:
% 0.66/0.84
% 0.66/0.84 Initial Rules:
% 0.66/0.84 #0: input, references = 16, size of lhs = 1:
% 0.66/0.84 distinct_points-{F}(V0,V0) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #1: input, references = 3, size of lhs = 1:
% 0.66/0.84 distinct_lines-{F}(V0,V0) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #2: input, references = 3, size of lhs = 1:
% 0.66/0.84 convergent_lines-{F}(V0,V0) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #3: input, references = 5, size of lhs = 2:
% 0.66/0.84 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #4: input, references = 3, size of lhs = 2:
% 0.66/0.84 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #5: input, references = 3, size of lhs = 2:
% 0.66/0.84 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #6: input, references = 22, size of lhs = 3:
% 0.66/0.84 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #7: input, references = 7, size of lhs = 3:
% 0.66/0.84 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #8: input, references = 3, size of lhs = 3:
% 0.66/0.84 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #9: input, references = 3, size of lhs = 3:
% 0.66/0.84 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #10: input, references = 4, size of lhs = 2:
% 0.66/0.84 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)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #11: input, references = 5, size of lhs = 2:
% 0.66/0.84 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #12: input, references = 6, size of lhs = 2:
% 0.66/0.84 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #13: input, references = 3, size of lhs = 1:
% 0.66/0.84 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #14: input, references = 4, size of lhs = 0:
% 0.66/0.84 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #15: input, references = 4, size of lhs = 1:
% 0.66/0.84 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #16: input, references = 4, size of lhs = 2:
% 0.66/0.84 pppp1-{F}(V0,V1), P_line_connecting-{F}(V1,V0,V2) | EXISTS V3: pppp0-{T}(V3,V0,V1,V2)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #17: input, references = 5, size of lhs = 2:
% 0.66/0.84 pppp1-{F}(V0,V1), P_line_connecting-{F}(V1,V0,V2) | distinct_points-{T}(V0,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #18: input, references = 14, size of lhs = 2:
% 0.66/0.84 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V1,V4) | apart_point_and_line-{T}(V0,V3)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #19: input, references = 4, size of lhs = 3:
% 0.66/0.84 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V1,V4), apart_point_and_line-{F}(V2,V4) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #20: input, references = 13, size of lhs = 2:
% 0.66/0.84 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V1,V4) | distinct_points-{T}(V0,V2)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #21: input, references = 4, size of lhs = 2:
% 0.66/0.84 pppp0-{F}(V0,V1,V2,V3), P_line_connecting-{F}(V0,V1,V4) | distinct_points-{T}(V0,V1)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #22: input, references = 17, size of lhs = 2:
% 0.66/0.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #23: input, references = 3, size of lhs = 2:
% 0.66/0.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 number of initial rules = 24
% 0.66/0.84
% 0.66/0.84 Simplifiers:
% 0.66/0.84 #24: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #25: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #26: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #27: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #28: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #29: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #30: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #31: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #32: unsound, references = 3, size of lhs = 3:
% 0.66/0.84 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 number of simplifiers = 9
% 0.66/0.84
% 0.66/0.84 Learnt:
% 0.66/0.84 #35: exists( #22, #33 ), references = 1, size of lhs = 1:
% 0.66/0.84 pppp1-{F}(V0,V0) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #37: disj( #3, input ), references = 10, size of lhs = 1:
% 0.66/0.84 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #46: exists( #22, #44 ), references = 7, size of lhs = 3:
% 0.66/0.84 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V4,V2) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #57: mergings( V3 == V5, V4 == V6; #53 ), references = 1, size of lhs = 2:
% 0.66/0.84 P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V1,V2) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #63: disj( #12, #7+#0 ), references = 10, size of lhs = 3:
% 0.66/0.84 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #64: disj( #12, #7+#46 ), references = 1, size of lhs = 5:
% 0.66/0.84 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), P_line_connecting-{F}(V0,V3,V5), pppp0-{F}(V3,V6,V7,V5) | distinct_lines-{T}(V1,V4)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #67: disj( #10, #7+#0, #7+#0 ), references = 1, size of lhs = 6:
% 0.66/0.84 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V3,V2), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V3) | apart_point_and_line-{T}(V1,V3), apart_point_and_line-{T}(V4,V2)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #70: disj( #66, #6+#0 ), references = 14, size of lhs = 8:
% 0.66/0.84 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,V2), distinct_points-{F}(V5,V1), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V4) | apart_point_and_line-{T}(V5,V2)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #79: mergings( V5 == V9, V6 == V12; #76 ), references = 3, size of lhs = 11:
% 0.66/0.84 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V3,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), pppp0-{F}(V1,V6,V3,V5), distinct_points-{F}(V7,V3), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V8,V7,V5), distinct_points-{F}(V7,V9), P_line_connecting-{F}(V7,V9,V2) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #120: mergings( V12 == V4, V1 == V17, V4 == V18, V7 == V13, V13 == V16; #113 ), references = 1, size of lhs = 15:
% 0.66/0.84 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,V4), distinct_points-{F}(V7,V5), P_line_connecting-{F}(V7,V5,V2), P_line_connecting-{F}(V1,V8,V9), P_line_connecting-{F}(V8,V1,V9), P_line_connecting-{F}(V10,V8,V4), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V2), pppp0-{F}(V8,V12,V1,V4) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #126: mergings( V13 == V16, V18 == V4, V17 == V1, V7 == V9, V9 == V19; #114 ), references = 1, size of lhs = 17:
% 0.66/0.84 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}(V1,V5), P_line_connecting-{F}(V1,V5,V4), distinct_points-{F}(V6,V1), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V7,V6,V4), distinct_points-{F}(V8,V6), P_line_connecting-{F}(V8,V6,V2), P_line_connecting-{F}(V9,V10,V4), distinct_points-{F}(V9,V11), P_line_connecting-{F}(V9,V11,V2), P_line_connecting-{F}(V10,V1,V12), P_line_connecting-{F}(V1,V10,V12), pppp0-{F}(V10,V13,V1,V4) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #129: disj( #11, #37+#46 ), references = 1, size of lhs = 3:
% 0.66/0.84 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)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #140: mergings( V1 == V15, V14 == V16, V8 == V13; #136 ), references = 4, size of lhs = 14:
% 0.66/0.84 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V3,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), distinct_points-{F}(V3,V6), P_line_connecting-{F}(V3,V6,V5), P_line_connecting-{F}(V1,V7,V5), distinct_points-{F}(V8,V3), distinct_points-{F}(V9,V8), P_line_connecting-{F}(V9,V8,V5), distinct_points-{F}(V8,V10), P_line_connecting-{F}(V8,V10,V2), pppp0-{F}(V7,V11,V12,V5) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #147: mergings( V11 == V1, V5 == V10, V7 == V12; #143 ), references = 1, size of lhs = 10:
% 0.66/0.84 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}(V1,V5), P_line_connecting-{F}(V1,V5,V6), P_line_connecting-{F}(V7,V2,V6), P_line_connecting-{F}(V2,V7,V6), pppp0-{F}(V7,V8,V2,V4) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #157: mergings( V12 == V11, V7 == V13; #154 ), references = 3, size of lhs = 11:
% 0.66/0.84 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,V4), distinct_points-{F}(V5,V7), P_line_connecting-{F}(V5,V7,V2), P_line_connecting-{F}(V8,V9,V2), pppp0-{F}(V9,V10,V8,V4) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #170: mergings( V1 == V6, V3 == V7, V4 == V5; #166 ), references = 1, size of lhs = 2:
% 0.66/0.84 P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V0,V2) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #183: disj( #11, #63+#70+#6+#0 ), references = 1, size of lhs = 12:
% 0.66/0.84 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), distinct_points-{F}(V9,V8), P_line_connecting-{F}(V9,V8,V1), distinct_points-{F}(V8,V10), P_line_connecting-{F}(V8,V10,V4) | distinct_points-{T}(V0,V3)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #184: disj( #11, #63+#70+#6+#157 ), references = 1, size of lhs = 19:
% 0.66/0.84 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), distinct_points-{F}(V9,V8), P_line_connecting-{F}(V9,V8,V1), distinct_points-{F}(V10,V8), distinct_points-{F}(V8,V11), P_line_connecting-{F}(V8,V11,V4), P_line_connecting-{F}(V10,V8,V12), P_line_connecting-{F}(V8,V8,V13), distinct_points-{F}(V8,V14), P_line_connecting-{F}(V8,V14,V12), P_line_connecting-{F}(V15,V16,V12), pppp0-{F}(V16,V17,V15,V13) | distinct_points-{T}(V0,V3)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #185: disj( #11, #63+#70+#6+#140 ), references = 1, size of lhs = 22:
% 0.66/0.84 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), distinct_points-{F}(V9,V8), P_line_connecting-{F}(V9,V8,V1), distinct_points-{F}(V8,V10), P_line_connecting-{F}(V8,V10,V4), P_line_connecting-{F}(V8,V8,V11), distinct_points-{F}(V12,V8), P_line_connecting-{F}(V12,V8,V11), distinct_points-{F}(V8,V13), P_line_connecting-{F}(V8,V13,V14), P_line_connecting-{F}(V15,V8,V14), distinct_points-{F}(V16,V15), P_line_connecting-{F}(V16,V15,V14), P_line_connecting-{F}(V15,V17,V11), pppp0-{F}(V17,V18,V19,V11) | distinct_points-{T}(V0,V3)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #195: disj( #12, #70+#6+#0 ), references = 5, size of lhs = 10:
% 0.66/0.84 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V1), distinct_points-{F}(V6,V3), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V7,V6,V1), distinct_points-{F}(V6,V8), P_line_connecting-{F}(V6,V8,V4) | apart_point_and_line-{T}(V0,V4)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #196: disj( #12, #70+#6+#157 ), references = 1, size of lhs = 17:
% 0.66/0.84 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V1), distinct_points-{F}(V6,V3), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V7,V6,V1), distinct_points-{F}(V8,V6), distinct_points-{F}(V6,V9), P_line_connecting-{F}(V6,V9,V4), P_line_connecting-{F}(V8,V6,V10), P_line_connecting-{F}(V6,V6,V11), distinct_points-{F}(V6,V12), P_line_connecting-{F}(V6,V12,V10), P_line_connecting-{F}(V13,V14,V10), pppp0-{F}(V14,V15,V13,V11) | apart_point_and_line-{T}(V0,V4)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #197: disj( #12, #70+#6+#140 ), references = 1, size of lhs = 20:
% 0.66/0.84 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V1), distinct_points-{F}(V6,V3), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V7,V6,V1), distinct_points-{F}(V6,V8), P_line_connecting-{F}(V6,V8,V4), P_line_connecting-{F}(V6,V6,V9), distinct_points-{F}(V10,V6), P_line_connecting-{F}(V10,V6,V9), distinct_points-{F}(V6,V11), P_line_connecting-{F}(V6,V11,V12), P_line_connecting-{F}(V13,V6,V12), distinct_points-{F}(V14,V13), P_line_connecting-{F}(V14,V13,V12), P_line_connecting-{F}(V13,V15,V9), pppp0-{F}(V15,V16,V17,V9) | apart_point_and_line-{T}(V0,V4)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #230: mergings( V12 == V11, V7 == V13; #225 ), references = 1, size of lhs = 11:
% 0.66/0.84 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,V4), distinct_points-{F}(V5,V7), P_line_connecting-{F}(V5,V7,V2), P_line_connecting-{F}(V8,V9,V2), pppp0-{F}(V8,V10,V9,V4) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #236: mergings( V13 == V11, V1 == V15, V11 == V16, V7 == V14, V14 == V12; #226 ), references = 1, size of lhs = 12:
% 0.66/0.84 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}(V5,V5,V4), P_line_connecting-{F}(V5,V6,V2), pppp0-{F}(V5,V7,V6,V4), distinct_points-{F}(V8,V1), distinct_points-{F}(V9,V8), P_line_connecting-{F}(V9,V8,V4), distinct_points-{F}(V8,V10), P_line_connecting-{F}(V8,V10,V2) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #244: mergings( V3 == V5, V8 == V6, V1 == V17, V6 == V18, V9 == V7, V7 == V5, V0 == V4; #227 ), references = 1, size of lhs = 12:
% 0.66/0.84 P_line_connecting-{F}(V0,V0,V1), P_line_connecting-{F}(V0,V2,V3), pppp0-{F}(V0,V4,V2,V1), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V3), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V1), distinct_points-{F}(V8,V6), distinct_points-{F}(V9,V8), P_line_connecting-{F}(V9,V8,V1), distinct_points-{F}(V8,V10), P_line_connecting-{F}(V8,V10,V3) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #251: disj( #12, #6+#0 ), references = 2, size of lhs = 3:
% 0.66/0.84 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #252: disj( #12, #6+#46 ), references = 1, size of lhs = 5:
% 0.66/0.84 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), P_line_connecting-{F}(V0,V2,V5), pppp0-{F}(V2,V6,V7,V5) | distinct_lines-{T}(V1,V4)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #260: mergings( V3 == V13, V4 == V15; #257 ), references = 2, size of lhs = 16:
% 0.66/0.84 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,V4), distinct_points-{F}(V5,V7), P_line_connecting-{F}(V5,V7,V2), distinct_points-{F}(V8,V9), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V2), distinct_points-{F}(V11,V9), pppp0-{F}(V8,V9,V11,V4), distinct_points-{F}(V12,V11), P_line_connecting-{F}(V12,V11,V2) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #265: mergings( V13 == V12, V7 == V15; #262 ), references = 1, size of lhs = 16:
% 0.66/0.84 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), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V3), distinct_points-{F}(V7,V8), P_line_connecting-{F}(V7,V8,V9), pppp0-{F}(V10,V1,V4,V9), distinct_points-{F}(V11,V7), distinct_points-{F}(V12,V11), P_line_connecting-{F}(V12,V11,V9), distinct_points-{F}(V11,V13), P_line_connecting-{F}(V11,V13,V3) | distinct_points-{T}(V0,V10)
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #270: mergings( V12 == V14, V7 == V15; #267 ), references = 1, size of lhs = 15:
% 0.66/0.84 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,V4), distinct_points-{F}(V5,V7), P_line_connecting-{F}(V5,V7,V2), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V8,V9,V2), distinct_points-{F}(V9,V10), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V2), pppp0-{F}(V12,V10,V9,V4) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #272: exists( #16, #267 ), references = 1, size of lhs = 16:
% 0.66/0.84 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,V4), distinct_points-{F}(V5,V7), P_line_connecting-{F}(V5,V7,V2), distinct_points-{F}(V8,V9), P_line_connecting-{F}(V8,V9,V2), distinct_points-{F}(V9,V10), pppp1-{F}(V10,V9), P_line_connecting-{F}(V9,V10,V4), distinct_points-{F}(V10,V11), P_line_connecting-{F}(V10,V11,V2) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #276: exists( #22, #274 ), references = 1, size of lhs = 2:
% 0.66/0.84 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #278: exists( #22, #275 ), references = 1, size of lhs = 1:
% 0.66/0.84 pppp1-{F}(V0,V1) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #280: exists( #15, #277 ), references = 1, size of lhs = 1:
% 0.66/0.84 pppp2-{F}(V0) | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 #282: exists( #14, #279 ), references = 1, size of lhs = 0:
% 0.66/0.84 FALSE | FALSE
% 0.66/0.84 (used 0 times, uses = {})
% 0.66/0.84
% 0.66/0.84 number of learnt formulas = 35
% 0.66/0.84
% 0.66/0.84
% 0.66/0.84 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.84
% 0.66/0.84 randbase = 1
%------------------------------------------------------------------------------