TSTP Solution File: SWW417-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWW417-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:22:48 EDT 2022
% Result : Unsatisfiable 187.88s 188.13s
% Output : Refutation 187.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW417-1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 09:25:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 187.88/188.13 GeoParameters:
% 187.88/188.13
% 187.88/188.13 tptp_input = 1
% 187.88/188.13 tptp_output = 0
% 187.88/188.13 nonempty = 1
% 187.88/188.13 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.88/188.13 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 187.88/188.13
% 187.88/188.13
% 187.88/188.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.88/188.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.88/188.13
% 187.88/188.13 RuleSystem INPUT:
% 187.88/188.13
% 187.88/188.13 Initial Rules:
% 187.88/188.13 #0: input, references = 4, size of lhs = 5:
% 187.88/188.13 P_sep-{F}(V1,V2,V3), P_sep-{F}(V0,V3,V4), P_sep-{F}(V0,V2,V5), P_sep-{F}(V1,V5,V6), V4 == V6 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #1: input, references = 4, size of lhs = 3:
% 187.88/188.13 P_lseg-{F}(V1,V1,V2), P_sep-{F}(V2,V0,V3), V3 == V0 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #2: input, references = 5, size of lhs = 4:
% 187.88/188.13 P_nil-{F}(V0), P_next-{F}(V0,V2,V3), P_sep-{F}(V3,V1,V4), heap-{F}(V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #3: input, references = 5, size of lhs = 5:
% 187.88/188.13 P_nil-{F}(V0), P_lseg-{F}(V0,V1,V2), P_sep-{F}(V2,V3,V4), heap-{F}(V4), V1 == V0 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #4: input, references = 10, size of lhs = 6:
% 187.88/188.13 P_nil-{F}(V0), P_next-{F}(V2,V3,V5), P_next-{F}(V2,V4,V6), P_sep-{F}(V6,V1,V7), P_sep-{F}(V5,V7,V8), heap-{F}(V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #5: input, references = 8, size of lhs = 7:
% 187.88/188.13 P_nil-{F}(V0), P_lseg-{F}(V1,V2,V3), P_next-{F}(V1,V4,V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V6,V7,V8), heap-{F}(V8), V1 == V2 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #6: input, references = 9, size of lhs = 8:
% 187.88/188.13 P_nil-{F}(V0), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V3,V6,V7), P_sep-{F}(V5,V7,V8), heap-{F}(V8), V1 == V2, V1 == V4 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #7: input, references = 9, size of lhs = 9:
% 187.88/188.13 P_nil-{F}(V0), P_next-{F}(V1,V2,V3), P_lseg-{F}(V2,V4,V6), P_sep-{F}(V6,V5,V7), P_sep-{F}(V3,V7,V8), P_lseg-{F}(V1,V4,V9), P_sep-{F}(V9,V5,V10), heap-{F}(V8), V1 == V2 | heap-{T}(V10)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #8: input, references = 3, size of lhs = 8:
% 187.88/188.13 P_nil-{F}(V0), P_lseg-{F}(V2,V0,V3), P_sep-{F}(V3,V1,V4), P_lseg-{F}(V2,V5,V6), P_lseg-{F}(V5,V0,V7), P_sep-{F}(V7,V1,V8), P_sep-{F}(V6,V8,V9), heap-{F}(V9) | heap-{T}(V4)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #9: input, references = 3, size of lhs = 10:
% 187.88/188.13 P_nil-{F}(V0), P_lseg-{F}(V2,V3,V5), P_next-{F}(V3,V4,V6), P_sep-{F}(V6,V1,V7), P_sep-{F}(V5,V7,V8), P_lseg-{F}(V2,V9,V10), P_lseg-{F}(V9,V3,V11), P_sep-{F}(V11,V7,V12), P_sep-{F}(V10,V12,V13), heap-{F}(V13) | heap-{T}(V8)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #10: input, references = 3, size of lhs = 11:
% 187.88/188.13 P_nil-{F}(V0), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V1,V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V6,V7,V8), P_lseg-{F}(V4,V9,V10), P_lseg-{F}(V9,V1,V11), P_sep-{F}(V11,V7,V12), P_sep-{F}(V10,V12,V13), heap-{F}(V13), V1 == V2 | heap-{T}(V8)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #11: input, references = 3, size of lhs = 2:
% 187.88/188.13 P_nil-{F}(V1), P_x1-{F}(V1) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #12: input, references = 4, size of lhs = 3:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V1) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #13: input, references = 27, size of lhs = 8:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_lseg-{F}(V2,V0,V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_sep-{F}(V3,V6,V7) | heap-{T}(V7)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #14: input, references = 5, size of lhs = 11:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_lseg-{F}(V2,V0,V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_sep-{F}(V3,V6,V7), P_lseg-{F}(V1,V0,V8), P_sep-{F}(V8,V5,V9), heap-{F}(V9) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #15: input, references = 58, size of lhs = 2:
% 187.88/188.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_sep-{T}(V0,V1,V2)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #16: input, references = 16, size of lhs = 2:
% 187.88/188.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_lseg-{T}(V0,V1,V2)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #17: input, references = 16, size of lhs = 2:
% 187.88/188.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_next-{T}(V0,V1,V2)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #18: input, references = 4, size of lhs = 0:
% 187.88/188.13 FALSE | EXISTS V0: P_nil-{T}(V0)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #19: input, references = 4, size of lhs = 0:
% 187.88/188.13 FALSE | EXISTS V0: P_x1-{T}(V0)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #20: input, references = 4, size of lhs = 0:
% 187.88/188.13 FALSE | EXISTS V0: P_x2-{T}(V0)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #21: input, references = 5, size of lhs = 0:
% 187.88/188.13 FALSE | EXISTS V0: P_emp-{T}(V0)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 number of initial rules = 22
% 187.88/188.13
% 187.88/188.13 Simplifiers:
% 187.88/188.13 #22: unsound, references = 3, size of lhs = 3:
% 187.88/188.13 P_sep-{F}(V0,V1,V2), P_sep-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #23: unsound, references = 3, size of lhs = 3:
% 187.88/188.13 P_lseg-{F}(V0,V1,V2), P_lseg-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #24: unsound, references = 3, size of lhs = 3:
% 187.88/188.13 P_next-{F}(V0,V1,V2), P_next-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #25: unsound, references = 3, size of lhs = 3:
% 187.88/188.13 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #26: unsound, references = 3, size of lhs = 3:
% 187.88/188.13 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #27: unsound, references = 3, size of lhs = 3:
% 187.88/188.13 P_x2-{F}(V0), P_x2-{F}(V1), V0 == V1 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #28: unsound, references = 3, size of lhs = 3:
% 187.88/188.13 P_emp-{F}(V0), P_emp-{F}(V1), V0 == V1 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 number of simplifiers = 7
% 187.88/188.13
% 187.88/188.13 Learnt:
% 187.88/188.13 #31: exists( #15, #0 ), references = 49, size of lhs = 3:
% 187.88/188.13 P_sep-{F}(V0,V1,V2), P_sep-{F}(V3,V2,V4), P_sep-{F}(V3,V1,V5) | P_sep-{T}(V0,V5,V4)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #32: exists( #15, #1 ), references = 14, size of lhs = 2:
% 187.88/188.13 P_lseg-{F}(V0,V0,V1), #-{F} V2 | P_sep-{T}(V1,V2,V2)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #58: mergings( V3 == V7; #54 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V3), P_next-{F}(V6,V7,V5), P_next-{F}(V6,V8,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #60: mergings( V3 == V7; #55 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V3), P_lseg-{F}(V6,V7,V5), V6 == V7, P_lseg-{F}(V6,V8,V5), V6 == V8 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #62: mergings( V3 == V7; #56 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V3), P_next-{F}(V6,V7,V5), P_lseg-{F}(V6,V8,V5), V6 == V8 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #67: mergings( V3 == V6; #63 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_sep-{F}(V4,V2,V2), P_next-{F}(V5,V6,V4), P_next-{F}(V5,V7,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #69: mergings( V3 == V6; #64 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_sep-{F}(V4,V2,V2), P_lseg-{F}(V5,V6,V4), V5 == V6, P_lseg-{F}(V5,V7,V4), V5 == V7 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #71: mergings( V3 == V6; #65 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_sep-{F}(V4,V2,V2), P_next-{F}(V5,V6,V4), P_lseg-{F}(V5,V7,V4), V5 == V7 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #106: mergings( V3 == V8; #102 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V5), P_sep-{F}(V7,V3,V3), P_next-{F}(V8,V9,V7), P_next-{F}(V8,V10,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #108: mergings( V3 == V8; #103 ), references = 1, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V5), P_sep-{F}(V7,V3,V3), P_lseg-{F}(V8,V9,V7), V8 == V9, P_lseg-{F}(V8,V10,V7), V8 == V10 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #110: mergings( V3 == V8; #104 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V5), P_sep-{F}(V7,V3,V3), P_next-{F}(V8,V9,V7), P_lseg-{F}(V8,V10,V7), V8 == V10 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #115: mergings( V3 == V7; #111 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V4), P_sep-{F}(V6,V2,V2), P_next-{F}(V7,V8,V6), P_next-{F}(V7,V9,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #117: mergings( V3 == V7; #112 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V4), P_sep-{F}(V6,V2,V2), P_lseg-{F}(V7,V8,V6), V7 == V8, P_lseg-{F}(V7,V9,V6), V7 == V9 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #119: mergings( V3 == V7; #113 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V4), P_sep-{F}(V6,V2,V2), P_next-{F}(V7,V8,V6), P_lseg-{F}(V7,V9,V6), V7 == V9 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #124: mergings( V0 == V4; #120 ), references = 1, size of lhs = 7:
% 187.88/188.13 P_x2-{F}(V0), P_nil-{F}(V0), P_x1-{F}(V1), P_emp-{F}(V2), P_sep-{F}(V3,V2,V2), P_next-{F}(V4,V5,V3), P_next-{F}(V4,V6,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #126: mergings( V0 == V4; #121 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x2-{F}(V0), P_nil-{F}(V0), P_x1-{F}(V1), P_emp-{F}(V2), P_sep-{F}(V3,V2,V2), P_lseg-{F}(V4,V5,V3), V4 == V5, P_lseg-{F}(V4,V6,V3), V4 == V6 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #178: mergings( V3 == V8; #174 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V5), P_next-{F}(V7,V8,V2), P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #201: mergings( V3 == V8, V8 == V9, V4 == V10, V5 == V11; #194 ), references = 1, size of lhs = 15:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_lseg-{F}(V2,V0,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V1,V2,V5), P_emp-{F}(V6), P_lseg-{F}(V1,V0,V7), P_sep-{F}(V7,V6,V8), P_next-{F}(V9,V10,V5), V9 == V10, P_lseg-{F}(V9,V11,V12), P_sep-{F}(V12,V13,V8), P_lseg-{F}(V10,V11,V14), P_sep-{F}(V14,V13,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #204: mergings( V3 == V8, V8 == V9; #195 ), references = 1, size of lhs = 19:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V5), P_next-{F}(V7,V8,V2), V7 == V8, P_lseg-{F}(V8,V9,V10), P_sep-{F}(V10,V11,V3), P_lseg-{F}(V7,V9,V12), P_sep-{F}(V12,V11,V13), P_sep-{F}(V14,V15,V13), P_lseg-{F}(V16,V17,V14), V16 == V17, P_lseg-{F}(V16,V18,V19), V16 == V18, P_sep-{F}(V19,V20,V15) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #207: mergings( V3 == V8, V8 == V9; #196 ), references = 1, size of lhs = 17:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V5), P_next-{F}(V7,V8,V2), V7 == V8, P_lseg-{F}(V8,V9,V10), P_sep-{F}(V10,V11,V3), P_lseg-{F}(V7,V9,V12), P_sep-{F}(V12,V11,V13), P_sep-{F}(V14,V15,V13), P_next-{F}(V16,V17,V14), P_next-{F}(V16,V18,V19), P_sep-{F}(V19,V20,V15) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #213: mergings( V3 == V6, V6 == V7; #208 ), references = 2, size of lhs = 13:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_lseg-{F}(V2,V0,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_lseg-{F}(V1,V0,V6), P_sep-{F}(V6,V5,V7), P_lseg-{F}(V1,V8,V9), P_sep-{F}(V9,V10,V7), P_lseg-{F}(V2,V8,V11), P_sep-{F}(V11,V10,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #216: mergings( V3 == V7, V7 == V8; #209 ), references = 1, size of lhs = 17:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V4), P_lseg-{F}(V1,V6,V7), P_sep-{F}(V7,V8,V2), P_lseg-{F}(V0,V6,V9), P_sep-{F}(V9,V8,V10), P_sep-{F}(V11,V12,V10), P_lseg-{F}(V13,V14,V11), V13 == V14, P_lseg-{F}(V13,V15,V16), V13 == V15, P_sep-{F}(V16,V17,V12) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #219: mergings( V3 == V7, V7 == V8; #210 ), references = 1, size of lhs = 15:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V4), P_lseg-{F}(V1,V6,V7), P_sep-{F}(V7,V8,V2), P_lseg-{F}(V0,V6,V9), P_sep-{F}(V9,V8,V10), P_sep-{F}(V11,V12,V10), P_next-{F}(V13,V14,V11), P_next-{F}(V13,V15,V16), P_sep-{F}(V16,V17,V12) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #221: exists( #15, #213 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_lseg-{F}(V2,V0,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_lseg-{F}(V1,V0,V6), P_lseg-{F}(V1,V7,V6), P_lseg-{F}(V2,V7,V8), P_sep-{F}(V8,V5,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #224: mergings( V4 == V7; #222 ), references = 2, size of lhs = 8:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_emp-{F}(V3), P_lseg-{F}(V2,V0,V4), P_sep-{F}(V4,V3,V3), P_lseg-{F}(V5,V5,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #227: exists( #16, #225 ), references = 1, size of lhs = 5:
% 187.88/188.13 P_nil-{F}(V0), P_x2-{F}(V0), P_x1-{F}(V1), V1 == V0, P_emp-{F}(V2) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #229: exists( #21, #226 ), references = 1, size of lhs = 4:
% 187.88/188.13 P_nil-{F}(V0), P_x2-{F}(V0), P_x1-{F}(V1), V1 == V0 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #240: mergings( V3 == V8; #236 ), references = 2, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_lseg-{F}(V7,V7,V8), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #242: mergings( V3 == V8; #237 ), references = 2, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_lseg-{F}(V7,V7,V8), P_next-{F}(V5,V9,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #244: mergings( V3 == V8; #238 ), references = 2, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_lseg-{F}(V7,V7,V8), P_lseg-{F}(V5,V9,V8), V9 == V5 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #247: exists( #15, #240 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V7), P_next-{F}(V8,V9,V7), P_next-{F}(V8,V10,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #248: exists( #15, #242 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V7), P_next-{F}(V4,V8,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #251: exists( #17, #245 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V6), P_next-{F}(V7,V8,V6), P_next-{F}(V7,V9,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #252: exists( #17, #246 ), references = 1, size of lhs = 7:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V6), P_next-{F}(V3,V7,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #255: exists( #16, #249 ), references = 1, size of lhs = 7:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V4,V4,V5), P_next-{F}(V6,V7,V5), P_next-{F}(V6,V8,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #283: mergings( V3 == V10; #280 ), references = 3, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V4), P_next-{F}(V10,V11,V9), P_next-{F}(V10,V12,V13), P_sep-{F}(V13,V14,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #285: mergings( V3 == V10; #281 ), references = 4, size of lhs = 14:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V4), P_lseg-{F}(V10,V11,V9), V10 == V11, P_lseg-{F}(V10,V12,V13), V10 == V12, P_sep-{F}(V13,V14,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #289: mergings( V3 == V7; #286 ), references = 3, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_next-{F}(V7,V8,V2), P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #292: mergings( V3 == V6; #290 ), references = 3, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_sep-{F}(V4,V2,V5), P_next-{F}(V0,V6,V7), P_sep-{F}(V7,V8,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #299: exists( #15, #295 ), references = 2, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_lseg-{F}(V7,V7,V8), P_lseg-{F}(V9,V10,V8), V9 == V10, P_lseg-{F}(V9,V11,V12), V9 == V11, P_sep-{F}(V12,V13,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #301: mergings( V3 == V8; #297 ), references = 3, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_lseg-{F}(V7,V8,V6), V7 == V8, P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #308: exists( #15, #292 ), references = 1, size of lhs = 6:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_next-{F}(V0,V5,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #309: exists( #15, #289 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V6,V7,V2), P_next-{F}(V6,V8,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #324: exists( #15, #320 ), references = 2, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_next-{F}(V0,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V8), P_sep-{F}(V9,V10,V2), P_sep-{F}(V6,V11,V10), P_sep-{F}(V4,V11,V12), P_sep-{F}(V13,V7,V12) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #325: exists( #15, #321 ), references = 2, size of lhs = 14:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V6,V7,V2), P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V11), P_sep-{F}(V12,V11,V11), P_sep-{F}(V12,V13,V3), P_sep-{F}(V9,V14,V13), P_sep-{F}(V5,V14,V15), P_sep-{F}(V16,V10,V15) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #337: mergings( V9 == V11, V11 == V5; #333 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_sep-{F}(V5,V2,V2), P_next-{F}(V0,V6,V7), P_sep-{F}(V7,V8,V2) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #341: mergings( V8 == V10, V10 == V4; #338 ), references = 1, size of lhs = 7:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_sep-{F}(V4,V2,V2), P_next-{F}(V0,V5,V6), P_sep-{F}(V6,V7,V2) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #347: exists( #15, #244 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V7), P_lseg-{F}(V4,V8,V7), V8 == V4 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #349: exists( #17, #345 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V6), P_lseg-{F}(V3,V7,V6), V7 == V3 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #351: exists( #16, #348 ), references = 1, size of lhs = 7:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V4,V4,V5), P_lseg-{F}(V3,V6,V5), V6 == V3 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #357: exists( #15, #285 ), references = 2, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_lseg-{F}(V7,V8,V2), V7 == V8, P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #358: exists( #15, #301 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V7,V5), V6 == V7, P_lseg-{F}(V6,V8,V2), V6 == V8 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #370: exists( #15, #368 ), references = 1, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V6,V7), P_lseg-{F}(V8,V8,V9), P_lseg-{F}(V10,V11,V9), V10 == V11, P_lseg-{F}(V10,V12,V7), V10 == V12 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #372: exists( #17, #369 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V5,V6), P_lseg-{F}(V7,V7,V8), P_lseg-{F}(V9,V10,V8), V9 == V10, P_lseg-{F}(V9,V11,V6), V9 == V11 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #374: exists( #16, #371 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V4,V4,V5), P_lseg-{F}(V6,V6,V7), P_lseg-{F}(V8,V9,V7), V8 == V9, P_lseg-{F}(V8,V10,V5), V8 == V10 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #393: exists( #15, #391 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_lseg-{F}(V7,V8,V6), V7 == V8, P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V12), P_sep-{F}(V13,V12,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #395: exists( #15, #392 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V7,V5), V6 == V7, P_lseg-{F}(V6,V8,V9), V6 == V8, P_sep-{F}(V9,V10,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #397: exists( #17, #394 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V6,V4), V5 == V6, P_lseg-{F}(V5,V7,V8), V5 == V7, P_sep-{F}(V8,V9,V2) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #399: exists( #16, #396 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), V1 == V3, P_lseg-{F}(V1,V4,V5), V1 == V4, P_sep-{F}(V5,V6,V2) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #404: mergings( V12 == V14, V14 == V6; #401 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V6,V3,V3), P_next-{F}(V7,V8,V2), P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #407: exists( #15, #405 ), references = 1, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V7,V2), V6 == V7, P_lseg-{F}(V6,V8,V9), V6 == V8, P_sep-{F}(V9,V10,V3), P_sep-{F}(V5,V10,V11) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #409: exists( #15, #406 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V7,V2), V6 == V7, P_lseg-{F}(V6,V8,V9), V6 == V8, P_sep-{F}(V9,V10,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #444: exists( #15, #440 ), references = 2, size of lhs = 14:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V9,V11,V4), P_sep-{F}(V12,V7,V11), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V16), P_sep-{F}(V16,V17,V10) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #445: exists( #15, #441 ), references = 1, size of lhs = 16:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V9,V11,V4), P_sep-{F}(V12,V7,V11), P_lseg-{F}(V13,V14,V12), V13 == V14, P_lseg-{F}(V13,V15,V16), V13 == V15, P_sep-{F}(V16,V17,V10) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #448: exists( #15, #442 ), references = 2, size of lhs = 14:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V9,V11,V4), P_sep-{F}(V12,V7,V11), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V16), P_sep-{F}(V16,V17,V10) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #449: exists( #15, #443 ), references = 1, size of lhs = 16:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V9,V11,V4), P_sep-{F}(V12,V7,V11), P_lseg-{F}(V13,V14,V12), V13 == V14, P_lseg-{F}(V13,V15,V16), V13 == V15, P_sep-{F}(V16,V17,V10) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #454: exists( #15, #450 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V8), P_next-{F}(V10,V11,V9), P_next-{F}(V10,V12,V13), P_sep-{F}(V13,V7,V14), P_sep-{F}(V15,V14,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #455: exists( #15, #451 ), references = 1, size of lhs = 15:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V8), P_lseg-{F}(V10,V11,V9), V10 == V11, P_lseg-{F}(V10,V12,V13), V10 == V12, P_sep-{F}(V13,V7,V14), P_sep-{F}(V15,V14,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #458: exists( #15, #452 ), references = 2, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V7,V7), P_sep-{F}(V9,V6,V3), P_next-{F}(V10,V11,V8), P_next-{F}(V10,V12,V9) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #459: exists( #15, #453 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V7,V7), P_sep-{F}(V9,V6,V3), P_lseg-{F}(V10,V11,V8), V10 == V11, P_lseg-{F}(V10,V12,V9), V10 == V12 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #468: exists( #15, #464 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V6,V7,V7), P_sep-{F}(V8,V7,V3), P_next-{F}(V9,V10,V6), P_next-{F}(V9,V11,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #470: exists( #17, #466 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_sep-{F}(V5,V6,V6), P_sep-{F}(V7,V6,V2), P_next-{F}(V8,V9,V5), P_next-{F}(V8,V10,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #472: exists( #16, #469 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_sep-{F}(V4,V5,V5), P_sep-{F}(V6,V5,V2), P_next-{F}(V7,V8,V4), P_next-{F}(V7,V9,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #517: exists( #15, #513 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V9,V11,V4), P_sep-{F}(V12,V7,V11), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #518: exists( #15, #511 ), references = 1, size of lhs = 15:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V9,V11,V4), P_sep-{F}(V12,V7,V11), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V16), P_sep-{F}(V16,V17,V18), P_sep-{F}(V19,V18,V10) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #519: exists( #15, #512 ), references = 1, size of lhs = 15:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V9,V11,V4), P_sep-{F}(V12,V7,V11), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V16), P_sep-{F}(V16,V17,V18), P_sep-{F}(V19,V18,V10) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #523: exists( #15, #514 ), references = 1, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_next-{F}(V9,V10,V6), P_next-{F}(V9,V11,V12), P_sep-{F}(V12,V7,V13), P_sep-{F}(V14,V13,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #524: exists( #15, #515 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V10,V4), P_sep-{F}(V11,V7,V10), P_next-{F}(V12,V13,V11), P_next-{F}(V12,V14,V15), P_sep-{F}(V15,V16,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #525: exists( #15, #516 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V10,V4), P_sep-{F}(V11,V7,V10), P_next-{F}(V12,V13,V11), P_next-{F}(V12,V14,V15), P_sep-{F}(V15,V16,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #529: exists( #15, #520 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V6,V3), P_next-{F}(V9,V10,V5), P_next-{F}(V9,V11,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #530: exists( #15, #521 ), references = 2, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V6,V3), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V12), P_sep-{F}(V12,V13,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #531: exists( #15, #522 ), references = 2, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V6,V3), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V12), P_sep-{F}(V12,V13,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #535: exists( #15, #526 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V6,V7,V5), P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #536: exists( #15, #527 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V6,V7,V5), P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #537: exists( #15, #528 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V6,V7,V5), P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #543: exists( #15, #539 ), references = 1, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V6,V3), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V12), P_sep-{F}(V12,V13,V14), P_sep-{F}(V15,V14,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #544: exists( #15, #540 ), references = 1, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V6,V3), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V12), P_sep-{F}(V12,V13,V14), P_sep-{F}(V15,V14,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #547: exists( #15, #541 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V6,V7,V3), P_next-{F}(V8,V9,V6), P_next-{F}(V8,V10,V11), P_sep-{F}(V11,V12,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #548: exists( #15, #542 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V6,V7,V3), P_next-{F}(V8,V9,V6), P_next-{F}(V8,V10,V11), P_sep-{F}(V11,V12,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #551: exists( #17, #545 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_sep-{F}(V5,V6,V2), P_next-{F}(V7,V8,V5), P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #552: exists( #17, #546 ), references = 1, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_sep-{F}(V5,V6,V2), P_next-{F}(V7,V8,V5), P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #555: exists( #16, #549 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_sep-{F}(V4,V5,V2), P_next-{F}(V6,V7,V4), P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #556: exists( #16, #550 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_sep-{F}(V4,V5,V2), P_next-{F}(V6,V7,V4), P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #568: mergings( V3 == V10; #566 ), references = 3, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V4), P_next-{F}(V10,V11,V9), P_lseg-{F}(V10,V12,V13), V10 == V12, P_sep-{F}(V13,V14,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #571: mergings( V3 == V7; #569 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_next-{F}(V7,V8,V2), P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #575: mergings( V3 == V7; #573 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V6,V7,V2), P_lseg-{F}(V6,V8,V9), V6 == V8, P_sep-{F}(V9,V10,V3), P_sep-{F}(V5,V10,V11) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #578: mergings( V3 == V8; #576 ), references = 2, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V6,V7,V2), P_lseg-{F}(V6,V8,V9), V6 == V8, P_sep-{F}(V9,V10,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #587: exists( #15, #585 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V10), P_sep-{F}(V11,V10,V4), P_next-{F}(V12,V13,V11), P_lseg-{F}(V12,V14,V6), V12 == V14 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #590: exists( #15, #588 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_lseg-{F}(V9,V10,V6), V9 == V10, P_next-{F}(V9,V11,V12), P_sep-{F}(V12,V7,V13), P_sep-{F}(V14,V13,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #592: exists( #15, #589 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V6,V3), P_lseg-{F}(V9,V10,V5), V9 == V10, P_next-{F}(V9,V11,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #594: exists( #15, #591 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V7,V5), V6 == V7, P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #596: exists( #17, #593 ), references = 2, size of lhs = 9:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V5,V6,V4), V5 == V6, P_next-{F}(V5,V7,V8), P_sep-{F}(V8,V9,V2) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #598: exists( #17, #578 ), references = 1, size of lhs = 8:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V0,V5,V6), V0 == V5, P_sep-{F}(V6,V7,V2) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #613: mergings( V3 == V7; #609 ), references = 2, size of lhs = 14:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_sep-{F}(V2,V6,V7), P_sep-{F}(V8,V9,V7), P_lseg-{F}(V10,V11,V8), V10 == V11, P_lseg-{F}(V10,V12,V13), V10 == V12, P_sep-{F}(V13,V14,V9) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #615: mergings( V3 == V7; #610 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_sep-{F}(V2,V6,V7), P_lseg-{F}(V4,V8,V9), V8 == V4, P_sep-{F}(V9,V10,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #617: mergings( V3 == V7; #611 ), references = 1, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_sep-{F}(V2,V6,V7), P_sep-{F}(V8,V9,V7), P_next-{F}(V10,V11,V8), P_next-{F}(V10,V12,V13), P_sep-{F}(V13,V14,V9) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #620: exists( #15, #618 ), references = 1, size of lhs = 12:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_sep-{F}(V7,V6,V6), P_lseg-{F}(V8,V9,V7), V8 == V9, P_lseg-{F}(V8,V10,V7), V8 == V10 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #624: exists( #15, #622 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V6,V3), P_sep-{F}(V9,V7,V7), P_lseg-{F}(V10,V11,V9), V10 == V11, P_lseg-{F}(V10,V12,V9), V10 == V12 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #637: exists( #15, #635 ), references = 1, size of lhs = 15:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V9,V11,V4), P_sep-{F}(V12,V7,V11), P_next-{F}(V13,V14,V12), P_lseg-{F}(V13,V15,V16), V13 == V15, P_sep-{F}(V16,V17,V10) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #639: exists( #15, #636 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V10), P_sep-{F}(V11,V10,V4), P_next-{F}(V12,V13,V9), P_lseg-{F}(V12,V14,V11), V12 == V14 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #641: exists( #15, #638 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V7), P_sep-{F}(V8,V6,V3), P_next-{F}(V9,V10,V8), P_lseg-{F}(V9,V11,V2), V9 == V11 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #643: exists( #15, #640 ), references = 1, size of lhs = 10:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_lseg-{F}(V6,V7,V2), V6 == V7, P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #667: mergings( V3 == V10; #665 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V4), P_next-{F}(V10,V11,V6), P_lseg-{F}(V10,V12,V13), V10 == V12, P_sep-{F}(V13,V14,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #671: mergings( V3 == V10; #669 ), references = 1, size of lhs = 14:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V4), P_next-{F}(V10,V11,V6), P_lseg-{F}(V10,V12,V13), V10 == V12, P_sep-{F}(V13,V14,V15), P_sep-{F}(V16,V15,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #674: mergings( V3 == V7; #672 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_next-{F}(V7,V8,V5), P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #705: mergings( V3 == V10, V10 == V11, V4 == V12, V5 == V13, V7 == V14, V8 == V15; #696 ), references = 1, size of lhs = 17:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_lseg-{F}(V2,V0,V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_lseg-{F}(V1,V0,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V3,V9,V10), P_sep-{F}(V11,V9,V6), P_next-{F}(V12,V13,V11), V12 == V13, P_lseg-{F}(V12,V14,V15), P_sep-{F}(V15,V16,V8), P_lseg-{F}(V13,V14,V17), P_sep-{F}(V17,V16,V10) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #708: mergings( V3 == V10, V10 == V11; #697 ), references = 1, size of lhs = 17:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V4), P_next-{F}(V5,V10,V11), P_sep-{F}(V11,V12,V13), P_next-{F}(V14,V15,V9), V14 == V15, P_lseg-{F}(V14,V16,V17), P_sep-{F}(V17,V18,V13), P_lseg-{F}(V15,V16,V19), P_sep-{F}(V19,V18,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #711: mergings( V3 == V10, V10 == V11; #698 ), references = 1, size of lhs = 20:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_sep-{F}(V2,V3,V4), P_nil-{F}(V5), P_lseg-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V9,V7,V4), P_next-{F}(V10,V11,V9), V10 == V11, P_lseg-{F}(V11,V12,V13), P_sep-{F}(V13,V14,V8), P_lseg-{F}(V10,V12,V15), P_sep-{F}(V15,V14,V16), P_sep-{F}(V17,V18,V16), P_next-{F}(V19,V20,V17), P_lseg-{F}(V19,V21,V22), V19 == V21, P_sep-{F}(V22,V23,V18) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #719: mergings( V3 == V7, V7 == V8, V4 == V9, V5 == V10; #712 ), references = 1, size of lhs = 15:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_lseg-{F}(V2,V0,V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_lseg-{F}(V1,V0,V6), P_sep-{F}(V6,V5,V7), P_sep-{F}(V3,V5,V8), P_next-{F}(V9,V10,V4), V9 == V10, P_lseg-{F}(V9,V11,V12), P_sep-{F}(V12,V13,V7), P_lseg-{F}(V10,V11,V14), P_sep-{F}(V14,V13,V8) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #722: mergings( V3 == V7, V7 == V8; #713 ), references = 1, size of lhs = 15:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_next-{F}(V4,V7,V8), P_sep-{F}(V8,V9,V10), P_next-{F}(V11,V12,V2), V11 == V12, P_lseg-{F}(V11,V13,V14), P_sep-{F}(V14,V15,V10), P_lseg-{F}(V12,V13,V16), P_sep-{F}(V16,V15,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #725: mergings( V3 == V7, V7 == V8; #714 ), references = 1, size of lhs = 18:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_sep-{F}(V5,V3,V6), P_next-{F}(V7,V8,V2), V7 == V8, P_lseg-{F}(V8,V9,V10), P_sep-{F}(V10,V11,V6), P_lseg-{F}(V7,V9,V12), P_sep-{F}(V12,V11,V13), P_sep-{F}(V14,V15,V13), P_next-{F}(V16,V17,V14), P_lseg-{F}(V16,V18,V19), V16 == V18, P_sep-{F}(V19,V20,V15) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #733: mergings( V3 == V7, V7 == V8, V4 == V9, V5 == V10; #726 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_lseg-{F}(V2,V0,V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_lseg-{F}(V1,V0,V6), P_sep-{F}(V6,V5,V7), P_sep-{F}(V8,V5,V7), P_next-{F}(V9,V10,V4), V9 == V10, P_lseg-{F}(V9,V11,V8), P_lseg-{F}(V10,V11,V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #736: mergings( V3 == V7, V7 == V8; #727 ), references = 1, size of lhs = 13:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V4,V6,V7), P_sep-{F}(V7,V8,V9), P_sep-{F}(V10,V3,V9), P_next-{F}(V11,V12,V2), V11 == V12, P_lseg-{F}(V11,V13,V10), P_lseg-{F}(V12,V13,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #739: mergings( V3 == V7, V7 == V8; #728 ), references = 1, size of lhs = 16:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_next-{F}(V0,V1,V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V4,V5), P_next-{F}(V6,V7,V2), V6 == V7, P_lseg-{F}(V7,V8,V5), P_lseg-{F}(V6,V8,V9), P_sep-{F}(V9,V3,V10), P_sep-{F}(V11,V12,V10), P_next-{F}(V13,V14,V11), P_lseg-{F}(V13,V15,V16), V13 == V15, P_sep-{F}(V16,V17,V12) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #745: mergings( V3 == V5, V5 == V6; #740 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_lseg-{F}(V2,V0,V3), P_emp-{F}(V4), P_lseg-{F}(V1,V0,V5), P_sep-{F}(V5,V4,V6), P_lseg-{F}(V2,V7,V3), P_lseg-{F}(V1,V7,V8), P_sep-{F}(V8,V4,V6) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #748: mergings( V3 == V6, V6 == V7; #741 ), references = 1, size of lhs = 11:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V1,V5,V4), P_lseg-{F}(V0,V5,V6), P_sep-{F}(V6,V2,V7), P_next-{F}(V3,V8,V9), P_sep-{F}(V9,V10,V7) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #751: mergings( V3 == V6, V6 == V7; #742 ), references = 1, size of lhs = 14:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V1,V3,V4), P_lseg-{F}(V1,V5,V4), P_lseg-{F}(V0,V5,V6), P_sep-{F}(V6,V2,V7), P_sep-{F}(V8,V9,V7), P_next-{F}(V10,V11,V8), P_lseg-{F}(V10,V12,V13), V10 == V12, P_sep-{F}(V13,V14,V9) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #757: mergings( V6 == V8, V3 == V1; #752 ), references = 2, size of lhs = 7:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_emp-{F}(V3), P_lseg-{F}(V1,V0,V4), P_sep-{F}(V4,V3,V5) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #759: exists( #16, #596 ), references = 1, size of lhs = 7:
% 187.88/188.13 P_x1-{F}(V0), P_x2-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), V1 == V3, P_next-{F}(V1,V4,V5), P_sep-{F}(V5,V6,V2) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #765: exists( #15, #757 ), references = 1, size of lhs = 6:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_emp-{F}(V3), P_lseg-{F}(V1,V0,V4) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #767: exists( #16, #763 ), references = 1, size of lhs = 5:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_emp-{F}(V3) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #769: exists( #21, #766 ), references = 1, size of lhs = 4:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2 | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #771: exists( #20, #768 ), references = 1, size of lhs = 2:
% 187.88/188.13 P_nil-{F}(V0), P_x1-{F}(V1) | P_x2-{T}(V1)
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #775: mergings( V1 == V2; #773 ), references = 1, size of lhs = 1:
% 187.88/188.13 P_nil-{F}(V0) | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 #777: exists( #18, #773 ), references = 1, size of lhs = 0:
% 187.88/188.13 FALSE | FALSE
% 187.88/188.13 (used 0 times, uses = {})
% 187.88/188.13
% 187.88/188.13 number of learnt formulas = 135
% 187.88/188.13
% 187.88/188.13
% 187.88/188.13 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.88/188.13
% 187.88/188.13 randbase = 1
%------------------------------------------------------------------------------