TSTP Solution File: GEO196+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO196+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:02:00 EDT 2022
% Result : Theorem 1.60s 1.79s
% Output : Refutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO196+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 : n005.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 17:39:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.60/1.79 GeoParameters:
% 1.60/1.79
% 1.60/1.79 tptp_input = 1
% 1.60/1.79 tptp_output = 0
% 1.60/1.79 nonempty = 1
% 1.60/1.79 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/1.79 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.60/1.79
% 1.60/1.79
% 1.60/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/1.79 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/1.79
% 1.60/1.79 RuleSystem INPUT:
% 1.60/1.79
% 1.60/1.79 Initial Rules:
% 1.60/1.79 #0: input, references = 6, size of lhs = 1:
% 1.60/1.79 distinct_points-{F}(V0,V0) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #1: input, references = 3, size of lhs = 1:
% 1.60/1.79 distinct_lines-{F}(V0,V0) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #2: input, references = 10, size of lhs = 1:
% 1.60/1.79 convergent_lines-{F}(V0,V0) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #3: input, references = 5, size of lhs = 2:
% 1.60/1.79 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #4: input, references = 4, size of lhs = 2:
% 1.60/1.79 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #5: input, references = 9, size of lhs = 2:
% 1.60/1.79 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #6: input, references = 4, size of lhs = 3:
% 1.60/1.79 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #7: input, references = 6, size of lhs = 3:
% 1.60/1.79 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #8: input, references = 5, size of lhs = 3:
% 1.60/1.79 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #9: input, references = 6, size of lhs = 3:
% 1.60/1.79 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #10: input, references = 6, size of lhs = 2:
% 1.60/1.79 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)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #11: input, references = 6, size of lhs = 2:
% 1.60/1.79 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #12: input, references = 4, size of lhs = 2:
% 1.60/1.79 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #13: input, references = 8, size of lhs = 2:
% 1.60/1.79 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #14: input, references = 4, size of lhs = 0:
% 1.60/1.79 FALSE | EXISTS V0: pppp3-{T}(V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #15: input, references = 4, size of lhs = 1:
% 1.60/1.79 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #16: input, references = 4, size of lhs = 2:
% 1.60/1.79 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V1,V3,V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #17: input, references = 5, size of lhs = 2:
% 1.60/1.79 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #18: input, references = 5, size of lhs = 1:
% 1.60/1.79 pppp1-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V0,V1,V4,V2,V3)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #19: input, references = 3, size of lhs = 2:
% 1.60/1.79 pppp1-{F}(V0,V1,V2,V3), apart_point_and_line-{F}(V3,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #20: input, references = 8, size of lhs = 2:
% 1.60/1.79 pppp0-{F}(V0,V1,V2,V3,V4), P_intersection_point-{F}(V2,V3,V5) | apart_point_and_line-{T}(V5,V0), apart_point_and_line-{T}(V5,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #21: input, references = 4, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1,V2,V3,V4), P_intersection_point-{F}(V2,V3,V5), apart_point_and_line-{F}(V4,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #22: input, references = 6, size of lhs = 2:
% 1.60/1.79 pppp0-{F}(V0,V1,V2,V3,V4), P_intersection_point-{F}(V2,V3,V5) | convergent_lines-{T}(V2,V3)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #23: input, references = 3, size of lhs = 2:
% 1.60/1.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #24: input, references = 15, size of lhs = 2:
% 1.60/1.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 number of initial rules = 25
% 1.60/1.79
% 1.60/1.79 Simplifiers:
% 1.60/1.79 #25: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #26: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #27: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #28: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V8,V4), V3 == V8 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #29: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V7,V8,V9), V1 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #30: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #31: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V8,V9), V4 == V9 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #32: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #33: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #34: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #35: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #36: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #37: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #38: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 number of simplifiers = 14
% 1.60/1.79
% 1.60/1.79 Learnt:
% 1.60/1.79 #41: exists( #24, #39 ), references = 1, size of lhs = 1:
% 1.60/1.79 pppp2-{F}(V0,V0) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #43: disj( #5, input ), references = 8, size of lhs = 1:
% 1.60/1.79 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #45: disj( #12, input ), references = 1, size of lhs = 3:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3) | distinct_lines-{T}(V3,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #47: disj( #4, input ), references = 2, size of lhs = 1:
% 1.60/1.79 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #49: disj( #11, input ), references = 10, size of lhs = 3:
% 1.60/1.79 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3) | distinct_points-{T}(V0,V3)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #51: disj( #3, input ), references = 5, size of lhs = 3:
% 1.60/1.79 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V1,V2,V3), apart_point_and_line-{F}(V2,V3) | distinct_points-{T}(V0,V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #61: disj( #20, #48+#50+#0 ), references = 1, size of lhs = 5:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_line_connecting-{F}(V2,V3,V0), P_intersection_point-{F}(V4,V5,V3), pppp0-{F}(V6,V0,V4,V5,V7) | apart_point_and_line-{T}(V3,V6)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #64: disj( #20, input ), references = 1, size of lhs = 4:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V0,V5,V3,V4,V6) | apart_point_and_line-{T}(V2,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #70: disj( #3, input ), references = 3, size of lhs = 1:
% 1.60/1.79 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #80: disj( #11, #49+#51+#0 ), references = 5, size of lhs = 4:
% 1.60/1.79 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_line_connecting-{F}(V3,V4,V1) | distinct_points-{T}(V0,V4)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #82: disj( #10, input, input, input ), references = 6, size of lhs = 8:
% 1.60/1.79 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), distinct_points-{F}(V5,V3), P_intersection_point-{F}(V6,V2,V5), convergent_lines-{F}(V6,V2) | apart_point_and_line-{T}(V3,V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #87: disj( #20, #49+#69+#82+#8 ), references = 1, size of lhs = 13:
% 1.60/1.79 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), P_intersection_point-{F}(V6,V2,V5), convergent_lines-{F}(V6,V2), convergent_lines-{F}(V2,V7), P_intersection_point-{F}(V2,V7,V3), P_intersection_point-{F}(V8,V9,V3), convergent_lines-{F}(V10,V11), P_intersection_point-{F}(V10,V11,V5), pppp0-{F}(V10,V12,V8,V9,V13) | apart_point_and_line-{T}(V3,V12)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #93: exists( #24, #91 ), references = 4, size of lhs = 15:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V4,V3,V2), convergent_lines-{F}(V4,V3), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V6), P_intersection_point-{F}(V7,V3,V6), convergent_lines-{F}(V7,V3), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V2), pppp0-{F}(V8,V10,V3,V1,V11), convergent_lines-{F}(V10,V12), P_intersection_point-{F}(V10,V12,V6) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #97: mergings( V5 == V7; #95 ), references = 2, size of lhs = 13:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V2), P_intersection_point-{F}(V6,V3,V2), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V2), pppp0-{F}(V7,V9,V3,V1,V10), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V2) | convergent_lines-{T}(V4,V6)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #102: disj( #13, #97+#2 ), references = 1, size of lhs = 13:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V5,V3,V2), convergent_lines-{F}(V6,V1), P_intersection_point-{F}(V6,V1,V2), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V2), pppp0-{F}(V7,V9,V3,V1,V10), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V2) | distinct_lines-{T}(V4,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #104: mergings( V5 == V7; #101 ), references = 1, size of lhs = 13:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V2), P_intersection_point-{F}(V6,V3,V2), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V2), pppp0-{F}(V7,V9,V3,V1,V10), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V2) | distinct_lines-{T}(V4,V6)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #109: disj( #20, input ), references = 6, size of lhs = 4:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V1,V5,V3,V4,V6) | apart_point_and_line-{T}(V2,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #112: disj( #5, #82+#7 ), references = 1, size of lhs = 10:
% 1.60/1.79 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V3), distinct_lines-{F}(V3,V4), P_intersection_point-{F}(V2,V3,V5), convergent_lines-{F}(V6,V3), P_intersection_point-{F}(V6,V3,V7), distinct_points-{F}(V7,V5), P_intersection_point-{F}(V0,V4,V7), P_line_connecting-{F}(V8,V5,V4), distinct_points-{F}(V8,V5) | convergent_lines-{T}(V1,V4)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #114: disj( #10, input, input ), references = 1, size of lhs = 6:
% 1.60/1.79 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), distinct_points-{F}(V5,V3) | apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V5,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #116: disj( #113, input ), references = 8, size of lhs = 8:
% 1.60/1.79 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), distinct_points-{F}(V5,V3), convergent_lines-{F}(V0,V6), P_intersection_point-{F}(V0,V6,V5) | apart_point_and_line-{T}(V3,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #123: exists( #24, #121 ), references = 1, size of lhs = 17:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V4), pppp0-{F}(V4,V0,V3,V4,V5), convergent_lines-{F}(V6,V4), P_intersection_point-{F}(V6,V4,V2), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V8), P_line_connecting-{F}(V2,V8,V9), P_intersection_point-{F}(V10,V9,V2), convergent_lines-{F}(V10,V9), distinct_lines-{F}(V11,V9), convergent_lines-{F}(V12,V11), P_intersection_point-{F}(V12,V11,V8), convergent_lines-{F}(V13,V11), P_intersection_point-{F}(V13,V11,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #136: mergings( V1 == V22, V3 == V23, V4 == V17; #132 ), references = 1, size of lhs = 26:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V5,V4), P_intersection_point-{F}(V5,V4,V2), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), distinct_lines-{F}(V3,V8), convergent_lines-{F}(V9,V8), P_intersection_point-{F}(V9,V8,V10), pppp0-{F}(V4,V0,V3,V4,V10), convergent_lines-{F}(V11,V8), P_intersection_point-{F}(V11,V8,V7), convergent_lines-{F}(V3,V12), P_intersection_point-{F}(V3,V12,V7), convergent_lines-{F}(V13,V14), P_intersection_point-{F}(V13,V14,V7), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V16,V14), P_intersection_point-{F}(V16,V14,V2), P_intersection_point-{F}(V17,V15,V2), convergent_lines-{F}(V17,V15), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V19), P_line_connecting-{F}(V19,V10,V15) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #141: mergings( V6 == V16, V3 == V17, V7 == V10; #137 ), references = 1, size of lhs = 19:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V5,V4), P_intersection_point-{F}(V5,V4,V2), distinct_lines-{F}(V3,V6), convergent_lines-{F}(V3,V6), convergent_lines-{F}(V7,V6), P_intersection_point-{F}(V7,V6,V8), pppp0-{F}(V4,V0,V3,V4,V8), distinct_lines-{F}(V6,V9), convergent_lines-{F}(V10,V6), P_intersection_point-{F}(V10,V6,V2), P_intersection_point-{F}(V11,V9,V2), convergent_lines-{F}(V11,V9), convergent_lines-{F}(V9,V12), P_intersection_point-{F}(V9,V12,V13), P_line_connecting-{F}(V13,V8,V9) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #146: mergings( V6 == V16, V3 == V17, V7 == V10; #142 ), references = 3, size of lhs = 19:
% 1.60/1.79 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V1,V2), convergent_lines-{F}(V3,V2), P_intersection_point-{F}(V3,V2,V4), convergent_lines-{F}(V1,V5), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V6,V5,V7), distinct_lines-{F}(V5,V8), convergent_lines-{F}(V9,V5), P_intersection_point-{F}(V9,V5,V4), P_intersection_point-{F}(V10,V8,V4), convergent_lines-{F}(V10,V8), convergent_lines-{F}(V8,V11), P_intersection_point-{F}(V8,V11,V12), P_line_connecting-{F}(V12,V7,V8), pppp0-{F}(V2,V13,V1,V2,V7), convergent_lines-{F}(V13,V14), P_intersection_point-{F}(V13,V14,V4) | convergent_lines-{T}(V0,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #163: mergings( V4 == V8, V20 == V25, V22 == V27, V25 == V2, V27 == V30, V2 == V33, V30 == V34, V23 == V28, V28 == V32, V32 == V12; #152 ), references = 1, size of lhs = 35:
% 1.60/1.79 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V6), convergent_lines-{F}(V7,V1), P_intersection_point-{F}(V7,V1,V8), convergent_lines-{F}(V9,V1), P_intersection_point-{F}(V9,V1,V8), convergent_lines-{F}(V1,V10), P_intersection_point-{F}(V1,V10,V3), convergent_lines-{F}(V1,V11), P_intersection_point-{F}(V1,V11,V8), convergent_lines-{F}(V12,V1), P_intersection_point-{F}(V13,V12,V3), convergent_lines-{F}(V12,V14), convergent_lines-{F}(V14,V12), P_intersection_point-{F}(V13,V14,V6), convergent_lines-{F}(V15,V14), P_intersection_point-{F}(V15,V14,V16), pppp0-{F}(V1,V17,V12,V1,V16), convergent_lines-{F}(V17,V18), P_intersection_point-{F}(V17,V18,V3), convergent_lines-{F}(V17,V19), P_intersection_point-{F}(V17,V19,V8), convergent_lines-{F}(V17,V20), P_intersection_point-{F}(V17,V20,V6), P_intersection_point-{F}(V21,V12,V8), P_intersection_point-{F}(V22,V21,V6), convergent_lines-{F}(V22,V21), convergent_lines-{F}(V21,V23), P_intersection_point-{F}(V21,V23,V24), P_line_connecting-{F}(V24,V16,V21) | convergent_lines-{T}(V0,V12)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #168: disj( #5, #43+#146+#2 ), references = 1, size of lhs = 19:
% 1.60/1.79 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), convergent_lines-{F}(V2,V1), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V2,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), P_intersection_point-{F}(V6,V1,V5), convergent_lines-{F}(V7,V1), P_intersection_point-{F}(V7,V1,V8), distinct_lines-{F}(V1,V9), P_intersection_point-{F}(V10,V9,V5), convergent_lines-{F}(V10,V9), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V12), P_line_connecting-{F}(V12,V8,V9), pppp0-{F}(V3,V13,V2,V3,V8), convergent_lines-{F}(V13,V14), P_intersection_point-{F}(V13,V14,V5) | convergent_lines-{T}(V0,V6)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #171: disj( #13, #146+#2 ), references = 1, size of lhs = 19:
% 1.60/1.79 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), distinct_lines-{F}(V5,V3), convergent_lines-{F}(V5,V3), convergent_lines-{F}(V5,V6), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V0,V6,V7), distinct_lines-{F}(V6,V8), convergent_lines-{F}(V9,V6), P_intersection_point-{F}(V9,V6,V4), P_intersection_point-{F}(V10,V8,V4), convergent_lines-{F}(V10,V8), convergent_lines-{F}(V8,V11), P_intersection_point-{F}(V8,V11,V12), P_line_connecting-{F}(V12,V7,V8), pppp0-{F}(V3,V13,V5,V3,V7), convergent_lines-{F}(V13,V14), P_intersection_point-{F}(V13,V14,V4) | distinct_lines-{T}(V1,V6)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #173: disj( #13, input ), references = 4, size of lhs = 1:
% 1.60/1.79 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #180: disj( #11, input ), references = 6, size of lhs = 3:
% 1.60/1.79 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3) | distinct_points-{T}(V0,V3)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #204: exists( #24, #198 ), references = 1, size of lhs = 11:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V3,V1), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), P_line_connecting-{F}(V5,V2,V3), pppp0-{F}(V1,V6,V3,V1,V7), convergent_lines-{F}(V6,V8), P_intersection_point-{F}(V6,V8,V9), P_line_connecting-{F}(V9,V2,V6) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #205: exists( #24, #199 ), references = 1, size of lhs = 11:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V3,V1), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), P_line_connecting-{F}(V5,V2,V3), pppp0-{F}(V1,V6,V3,V1,V7), convergent_lines-{F}(V6,V8), P_intersection_point-{F}(V6,V8,V9), P_line_connecting-{F}(V9,V2,V6) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #206: exists( #24, #200 ), references = 1, size of lhs = 26:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), P_line_connecting-{F}(V4,V4,V5), distinct_lines-{F}(V5,V6), convergent_lines-{F}(V7,V6), P_intersection_point-{F}(V7,V6,V4), convergent_lines-{F}(V8,V6), P_intersection_point-{F}(V8,V6,V2), convergent_lines-{F}(V5,V9), P_intersection_point-{F}(V5,V9,V2), distinct_lines-{F}(V10,V1), convergent_lines-{F}(V10,V1), convergent_lines-{F}(V11,V10), P_intersection_point-{F}(V11,V10,V12), P_line_connecting-{F}(V12,V4,V10), convergent_lines-{F}(V13,V10), P_intersection_point-{F}(V13,V10,V14), P_line_connecting-{F}(V14,V4,V10), pppp0-{F}(V1,V15,V10,V1,V16), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V2), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V19), P_line_connecting-{F}(V19,V4,V15) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #212: disj( #10, input, input ), references = 1, size of lhs = 5:
% 1.60/1.79 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), distinct_points-{F}(V3,V4), pppp1-{F}(V5,V6,V1,V4) | apart_point_and_line-{T}(V4,V0), apart_point_and_line-{T}(V3,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #213: disj( #10, input, input ), references = 1, size of lhs = 6:
% 1.60/1.79 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) | apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V5,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #215: disj( #210, input ), references = 3, size of lhs = 7:
% 1.60/1.79 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), distinct_points-{F}(V3,V4), pppp1-{F}(V5,V6,V1,V4), P_intersection_point-{F}(V0,V7,V8), pppp0-{F}(V9,V10,V0,V7,V4) | apart_point_and_line-{T}(V3,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #223: mergings( V1 == V9, V4 == V10, V5 == V6; #219 ), references = 1, size of lhs = 6:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V4), pppp0-{F}(V4,V1,V3,V4,V2), pppp1-{F}(V5,V6,V4,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #230: mergings( V2 == V9, V4 == V10, V6 == V5; #226 ), references = 2, size of lhs = 5:
% 1.60/1.79 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), pppp0-{F}(V1,V3,V5,V1,V4), pppp1-{F}(V6,V7,V1,V4) | convergent_lines-{T}(V0,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #244: mergings( V4 == V6, V1 == V10, V7 == V11, V8 == V12; #239 ), references = 1, size of lhs = 8:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), P_intersection_point-{F}(V1,V4,V2), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V2), pppp0-{F}(V1,V5,V4,V1,V7) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #257: mergings( V1 == V8, V4 == V9, V5 == V10; #252 ), references = 1, size of lhs = 4:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V4,V3,V2), pppp1-{F}(V5,V6,V3,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #261: mergings( V0 == V5, V1 == V6; #258 ), references = 1, size of lhs = 3:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V3,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #278: mergings( V0 == V16, V1 == V17, V4 == V10, V3 == V14, V2 == V6, V5 == V15; #271 ), references = 1, size of lhs = 10:
% 1.60/1.79 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V0,V5,V3), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V8), pppp0-{F}(V6,V9,V0,V5,V8), pppp1-{F}(V10,V11,V1,V8) | apart_point_and_line-{T}(V3,V9)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #291: mergings( V3 == V8, V11 == V9, V8 == V16, V9 == V17, V12 == V5, V5 == V13, V6 == V14, V7 == V15; #282 ), references = 1, size of lhs = 8:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), distinct_lines-{F}(V5,V6), convergent_lines-{F}(V5,V6), pppp0-{F}(V0,V4,V5,V6,V2), pppp1-{F}(V7,V8,V6,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #303: mergings( V3 == V12, V7 == V13, V12 == V16, V13 == V17, V9 == V5, V5 == V8, V10 == V14, V11 == V15; #294 ), references = 2, size of lhs = 7:
% 1.60/1.79 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V4), pppp0-{F}(V2,V6,V7,V1,V4), pppp1-{F}(V8,V9,V1,V4) | convergent_lines-{T}(V0,V7)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #310: mergings( V3 == V10, V7 == V11, V5 == V12; #306 ), references = 1, size of lhs = 6:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V0,V4,V5,V6,V2), pppp1-{F}(V7,V8,V6,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #314: mergings( V0 == V7, V1 == V8; #311 ), references = 1, size of lhs = 5:
% 1.60/1.79 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), pppp1-{F}(V0,V4,V5,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #316: exists( #16, #311 ), references = 1, size of lhs = 6:
% 1.60/1.79 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V2), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #319: exists( #24, #317 ), references = 1, size of lhs = 1:
% 1.60/1.79 pppp2-{F}(V0,V1) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #321: exists( #15, #318 ), references = 1, size of lhs = 1:
% 1.60/1.79 pppp3-{F}(V0) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #323: exists( #14, #320 ), references = 1, size of lhs = 0:
% 1.60/1.79 FALSE | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 number of learnt formulas = 49
% 1.60/1.79
% 1.60/1.79
% 1.60/1.79 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/1.79
% 1.60/1.79 randbase = 1
%------------------------------------------------------------------------------