TSTP Solution File: GEO177+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO177+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:01:52 EDT 2022
% Result : Theorem 0.87s 1.06s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO177+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:32:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.87/1.06 GeoParameters:
% 0.87/1.06
% 0.87/1.06 tptp_input = 1
% 0.87/1.06 tptp_output = 0
% 0.87/1.06 nonempty = 1
% 0.87/1.06 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/1.06 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.87/1.06
% 0.87/1.06
% 0.87/1.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/1.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/1.06
% 0.87/1.06 RuleSystem INPUT:
% 0.87/1.06
% 0.87/1.06 Initial Rules:
% 0.87/1.06 #0: input, references = 14, size of lhs = 1:
% 0.87/1.06 distinct_points-{F}(V0,V0) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #1: input, references = 6, size of lhs = 1:
% 0.87/1.06 distinct_lines-{F}(V0,V0) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #2: input, references = 3, size of lhs = 1:
% 0.87/1.06 convergent_lines-{F}(V0,V0) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #3: input, references = 8, size of lhs = 2:
% 0.87/1.06 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #4: input, references = 5, size of lhs = 2:
% 0.87/1.06 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #5: input, references = 3, size of lhs = 2:
% 0.87/1.06 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #6: input, references = 6, size of lhs = 3:
% 0.87/1.06 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #7: input, references = 10, size of lhs = 3:
% 0.87/1.06 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #8: input, references = 3, size of lhs = 3:
% 0.87/1.06 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #9: input, references = 3, size of lhs = 3:
% 0.87/1.06 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #10: input, references = 5, size of lhs = 2:
% 0.87/1.06 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)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #11: input, references = 5, size of lhs = 2:
% 0.87/1.06 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #12: input, references = 5, size of lhs = 2:
% 0.87/1.06 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #13: input, references = 3, size of lhs = 1:
% 0.87/1.06 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #14: input, references = 4, size of lhs = 0:
% 0.87/1.06 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #15: input, references = 4, size of lhs = 1:
% 0.87/1.06 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #16: input, references = 5, size of lhs = 2:
% 0.87/1.06 pppp2-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V1,V3,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #17: input, references = 5, size of lhs = 2:
% 0.87/1.06 pppp2-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | distinct_points-{T}(V0,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #18: input, references = 8, size of lhs = 1:
% 0.87/1.06 pppp1-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V0,V1,V4,V2,V3)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #19: input, references = 3, size of lhs = 2:
% 0.87/1.06 pppp1-{F}(V0,V1,V2,V3), apart_point_and_line-{F}(V2,V3) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #20: input, references = 10, size of lhs = 3:
% 0.87/1.06 pppp0-{F}(V0,V1,V2,V3,V4), P_line_connecting-{F}(V2,V3,V5), apart_point_and_line-{F}(V2,V4) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #21: input, references = 8, size of lhs = 2:
% 0.87/1.06 pppp0-{F}(V0,V1,V2,V3,V4), P_line_connecting-{F}(V2,V3,V5) | apart_point_and_line-{T}(V0,V5), apart_point_and_line-{T}(V1,V5)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #22: input, references = 11, size of lhs = 2:
% 0.87/1.06 pppp0-{F}(V0,V1,V2,V3,V4), P_line_connecting-{F}(V2,V3,V5) | distinct_points-{T}(V2,V3)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #23: input, references = 15, size of lhs = 2:
% 0.87/1.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #24: input, references = 3, size of lhs = 2:
% 0.87/1.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 number of initial rules = 25
% 0.87/1.06
% 0.87/1.06 Simplifiers:
% 0.87/1.06 #25: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #26: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #27: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #28: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V8,V4), V3 == V8 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #29: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V7,V8,V9), V1 == V6 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #30: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #31: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V8,V9), V4 == V9 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #32: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #33: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #34: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #35: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #36: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #37: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #38: unsound, references = 3, size of lhs = 3:
% 0.87/1.06 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 number of simplifiers = 14
% 0.87/1.06
% 0.87/1.06 Learnt:
% 0.87/1.06 #41: exists( #23, #39 ), references = 1, size of lhs = 1:
% 0.87/1.06 pppp2-{F}(V0,V0) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #43: disj( #3, input ), references = 7, size of lhs = 1:
% 0.87/1.06 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #46: disj( #21, input ), references = 1, size of lhs = 3:
% 0.87/1.06 P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V0,V1,V5), pppp1-{F}(V6,V7,V4,V2) | apart_point_and_line-{T}(V3,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #50: disj( #21, #7+#0 ), references = 2, size of lhs = 4:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V5,V1,V3,V4,V6) | apart_point_and_line-{T}(V5,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #55: disj( #12, #6+#0 ), references = 7, size of lhs = 3:
% 0.87/1.06 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #57: disj( #4, input ), references = 1, size of lhs = 1:
% 0.87/1.06 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #61: disj( #10, #7+#0, #7+#0, input ), references = 1, size of lhs = 7:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V2), pppp1-{F}(V6,V7,V4,V3) | apart_point_and_line-{T}(V1,V3)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #62: disj( #10, #7+#0, #7+#0, #7+#0 ), references = 3, size of lhs = 8:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V5,V4,V2), distinct_points-{F}(V6,V4), P_line_connecting-{F}(V6,V4,V3) | apart_point_and_line-{T}(V1,V3)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #72: disj( #4, #62+#6+#0 ), references = 3, size of lhs = 10:
% 0.87/1.06 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V1), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), distinct_points-{F}(V6,V3), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V7,V6,V1), distinct_points-{F}(V8,V6), P_line_connecting-{F}(V8,V6,V5) | distinct_lines-{T}(V0,V5)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #73: disj( #4, #62+#55+#1 ), references = 1, size of lhs = 10:
% 0.87/1.06 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V1), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V5), distinct_points-{F}(V6,V3), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V7,V6,V1), distinct_points-{F}(V8,V6), P_line_connecting-{F}(V8,V6,V5) | distinct_lines-{T}(V0,V5)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #79: disj( #10, input, #6+#0 ), references = 1, size of lhs = 5:
% 0.87/1.06 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), pppp1-{F}(V5,V6,V1,V4) | apart_point_and_line-{T}(V1,V3), apart_point_and_line-{T}(V0,V4)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #82: disj( #77, #7+#0 ), references = 7, size of lhs = 7:
% 0.87/1.06 distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V5,V1,V3), pppp1-{F}(V6,V7,V1,V4) | apart_point_and_line-{T}(V0,V4)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #90: mergings( V3 == V9, V1 == V10, V4 == V6; #86 ), references = 2, size of lhs = 5:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), pppp0-{F}(V0,V4,V3,V4,V2), pppp1-{F}(V5,V6,V4,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #96: mergings( V3 == V9, V1 == V10, V6 == V5; #92 ), references = 1, size of lhs = 5:
% 0.87/1.06 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), pppp0-{F}(V2,V0,V5,V0,V4), pppp1-{F}(V6,V7,V0,V4) | distinct_points-{T}(V1,V5)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #102: mergings( V3 == V8, V1 == V9, V5 == V10; #98 ), references = 1, size of lhs = 4:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V4,V3,V2), pppp1-{F}(V5,V6,V3,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #106: mergings( V0 == V5, V1 == V6; #103 ), references = 1, size of lhs = 3:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V0,V3,V3,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #110: disj( #21, #7+#0 ), references = 6, size of lhs = 4:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V1,V5,V3,V4,V6) | apart_point_and_line-{T}(V5,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #131: mergings( V1 == V9, V3 == V10, V8 == V11; #127 ), references = 1, size of lhs = 7:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V2), pppp0-{F}(V6,V0,V4,V6,V7) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #134: disj( #11, mergings( V1 == V9, V3 == V10, V8 == V11; #127 ) ), references = 1, size of lhs = 7:
% 0.87/1.06 apart_point_and_line-{F}(V0,V1), P_line_connecting-{F}(V0,V2,V3), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V4,V5,V3), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V3), pppp0-{F}(V7,V0,V5,V7,V8) | apart_point_and_line-{T}(V2,V1)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #157: mergings( V1 == V10, V10 == V14, V6 == V15, V14 == V16, V15 == V17, V8 == V11, V11 == V5, V5 == V18; #148 ), references = 1, size of lhs = 8:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V0,V4), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V7,V4), pppp0-{F}(V6,V3,V7,V6,V2), pppp1-{F}(V8,V9,V6,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #164: mergings( V4 == V5, V1 == V11, V11 == V13, V6 == V14, V7 == V12, V12 == V15; #147 ), references = 1, size of lhs = 9:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V3,V2), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V2), P_line_connecting-{F}(V5,V6,V2), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V2), pppp0-{F}(V1,V5,V3,V1,V8) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #179: disj( #11, #55+#82+#20 ), references = 3, size of lhs = 11:
% 0.87/1.06 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), distinct_points-{F}(V5,V6), distinct_points-{F}(V5,V7), P_line_connecting-{F}(V5,V7,V1), distinct_points-{F}(V8,V6), P_line_connecting-{F}(V8,V6,V1), pppp1-{F}(V9,V10,V6,V4), P_line_connecting-{F}(V5,V11,V12), pppp0-{F}(V13,V14,V5,V11,V4) | distinct_points-{T}(V0,V2)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #196: mergings( V1 == V11, V6 == V12, V11 == V15, V12 == V16, V15 == V17, V16 == V18, V8 == V5, V5 == V7, V7 == V19, V9 == V13, V10 == V14; #184 ), references = 2, size of lhs = 5:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V0,V2), pppp0-{F}(V4,V3,V5,V4,V2), pppp1-{F}(V6,V7,V4,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #202: mergings( V0 == V6, V1 == V7, V6 == V8, V7 == V9; #197 ), references = 2, size of lhs = 4:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V3,V0,V2), pppp1-{F}(V4,V3,V4,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #224: disj( #12, #7+#0 ), references = 4, size of lhs = 3:
% 0.87/1.06 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #225: disj( #12, #7+#202 ), references = 1, size of lhs = 6:
% 0.87/1.06 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), P_line_connecting-{F}(V6,V0,V5), pppp1-{F}(V7,V6,V7,V5) | distinct_lines-{T}(V1,V4)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #226: disj( #12, #7+#196 ), references = 1, size of lhs = 7:
% 0.87/1.06 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), P_line_connecting-{F}(V6,V0,V5), pppp0-{F}(V7,V6,V8,V7,V5), pppp1-{F}(V9,V10,V7,V5) | distinct_lines-{T}(V1,V4)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #238: mergings( V1 == V9, V4 == V10, V5 == V6; #233 ), references = 2, size of lhs = 5:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), pppp0-{F}(V4,V1,V3,V4,V2), pppp1-{F}(V5,V6,V4,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #244: mergings( V1 == V9, V4 == V10, V6 == V5; #240 ), references = 1, size of lhs = 5:
% 0.87/1.06 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), pppp0-{F}(V0,V3,V5,V0,V4), pppp1-{F}(V6,V7,V0,V4) | distinct_points-{T}(V1,V5)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #250: mergings( V1 == V8, V4 == V9, V5 == V10; #246 ), references = 1, size of lhs = 4:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V4,V3,V2), pppp1-{F}(V5,V6,V3,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #254: mergings( V0 == V5, V1 == V6; #251 ), references = 1, size of lhs = 3:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V3,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #264: mergings( V0 == V16, V1 == V17, V4 == V7, V3 == V14, V2 == V8, V5 == V15; #257 ), references = 1, size of lhs = 10:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V6), distinct_points-{F}(V7,V4), P_line_connecting-{F}(V7,V4,V6), P_line_connecting-{F}(V3,V8,V6), pppp0-{F}(V1,V9,V3,V8,V2), pppp1-{F}(V10,V11,V4,V2) | apart_point_and_line-{T}(V9,V6)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #281: mergings( V4 == V12, V7 == V13, V12 == V16, V13 == V17, V16 == V18, V17 == V19, V9 == V5, V5 == V8, V8 == V20, V10 == V14, V11 == V15; #269 ), references = 1, size of lhs = 6:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V1,V4,V5,V6,V2), pppp1-{F}(V7,V8,V6,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #287: mergings( V0 == V7, V1 == V8, V7 == V9, V8 == V10; #282 ), references = 1, size of lhs = 5:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp1-{F}(V1,V4,V5,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #289: exists( #16, #282 ), references = 1, size of lhs = 6:
% 0.87/1.06 distinct_points-{F}(V0,V1), pppp2-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V0,V1,V3), distinct_points-{F}(V4,V2), P_line_connecting-{F}(V4,V2,V3) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #292: disj( #3, #43+#288 ), references = 2, size of lhs = 6:
% 0.87/1.06 distinct_points-{F}(V0,V1), pppp2-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), P_line_connecting-{F}(V4,V0,V3), distinct_points-{F}(V5,V2), P_line_connecting-{F}(V5,V2,V3) | distinct_points-{T}(V1,V4)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #304: mergings( V0 == V16, V1 == V17, V4 == V7, V3 == V14, V2 == V8, V5 == V15; #297 ), references = 1, size of lhs = 10:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V6), distinct_points-{F}(V7,V4), P_line_connecting-{F}(V7,V4,V6), P_line_connecting-{F}(V3,V8,V6), pppp0-{F}(V9,V1,V3,V8,V2), pppp1-{F}(V10,V11,V4,V2) | apart_point_and_line-{T}(V9,V6)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #316: mergings( V6 == V12, V4 == V13, V12 == V16, V13 == V17, V7 == V5, V5 == V9, V10 == V14, V11 == V15; #307 ), references = 2, size of lhs = 7:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), distinct_points-{F}(V5,V6), pppp0-{F}(V3,V1,V5,V6,V2), pppp1-{F}(V7,V8,V6,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #327: mergings( V10 == V16, V8 == V17, V16 == V20, V17 == V21, V13 == V9, V9 == V12, V14 == V18, V15 == V19; #318 ), references = 1, size of lhs = 12:
% 0.87/1.06 distinct_points-{F}(V0,V1), pppp2-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V1,V3), distinct_points-{F}(V5,V2), P_line_connecting-{F}(V5,V2,V3), distinct_points-{F}(V6,V7), P_line_connecting-{F}(V6,V7,V8), distinct_points-{F}(V9,V10), P_line_connecting-{F}(V9,V10,V8), pppp0-{F}(V9,V7,V11,V4,V8), pppp1-{F}(V12,V13,V4,V8) | distinct_points-{T}(V0,V11)
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #333: mergings( V6 == V10, V4 == V11, V5 == V12; #329 ), references = 1, size of lhs = 6:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp0-{F}(V3,V1,V5,V6,V2), pppp1-{F}(V7,V8,V6,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #337: mergings( V0 == V7, V1 == V8; #334 ), references = 1, size of lhs = 5:
% 0.87/1.06 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V4), P_line_connecting-{F}(V3,V4,V2), pppp1-{F}(V3,V1,V5,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #339: exists( #16, #334 ), references = 1, size of lhs = 6:
% 0.87/1.06 pppp2-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V3,V1), P_line_connecting-{F}(V3,V1,V2), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V2) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #342: exists( #23, #340 ), references = 1, size of lhs = 1:
% 0.87/1.06 pppp2-{F}(V0,V1) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #344: exists( #15, #341 ), references = 1, size of lhs = 1:
% 0.87/1.06 pppp3-{F}(V0) | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 #346: exists( #14, #343 ), references = 1, size of lhs = 0:
% 0.87/1.06 FALSE | FALSE
% 0.87/1.06 (used 0 times, uses = {})
% 0.87/1.06
% 0.87/1.06 number of learnt formulas = 45
% 0.87/1.06
% 0.87/1.06
% 0.87/1.06 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/1.06
% 0.87/1.06 randbase = 1
%------------------------------------------------------------------------------