TSTP Solution File: SWW421-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWW421-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:22:48 EDT 2022
% Result : Unsatisfiable 82.98s 83.20s
% Output : Refutation 82.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW421-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 10:08:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 82.98/83.20 GeoParameters:
% 82.98/83.20
% 82.98/83.20 tptp_input = 1
% 82.98/83.20 tptp_output = 0
% 82.98/83.20 nonempty = 1
% 82.98/83.20 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.98/83.20 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 82.98/83.20
% 82.98/83.20
% 82.98/83.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.98/83.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.98/83.20
% 82.98/83.20 RuleSystem INPUT:
% 82.98/83.20
% 82.98/83.20 Initial Rules:
% 82.98/83.20 #0: input, references = 4, size of lhs = 5:
% 82.98/83.20 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
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #1: input, references = 4, size of lhs = 3:
% 82.98/83.20 P_lseg-{F}(V1,V1,V2), P_sep-{F}(V2,V0,V3), V3 == V0 | FALSE
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #2: input, references = 5, size of lhs = 4:
% 82.98/83.20 P_nil-{F}(V0), P_next-{F}(V0,V2,V3), P_sep-{F}(V3,V1,V4), heap-{F}(V4) | FALSE
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #3: input, references = 6, size of lhs = 5:
% 82.98/83.20 P_nil-{F}(V0), P_lseg-{F}(V0,V1,V2), P_sep-{F}(V2,V3,V4), heap-{F}(V4), V1 == V0 | FALSE
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #4: input, references = 9, size of lhs = 6:
% 82.98/83.20 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
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #5: input, references = 6, size of lhs = 7:
% 82.98/83.20 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
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #6: input, references = 9, size of lhs = 8:
% 82.98/83.20 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
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #7: input, references = 8, size of lhs = 9:
% 82.98/83.20 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)
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #8: input, references = 3, size of lhs = 8:
% 82.98/83.20 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)
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #9: input, references = 3, size of lhs = 10:
% 82.98/83.20 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)
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #10: input, references = 3, size of lhs = 11:
% 82.98/83.20 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)
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #11: input, references = 3, size of lhs = 2:
% 82.98/83.20 P_nil-{F}(V1), P_x1-{F}(V1) | FALSE
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #12: input, references = 4, size of lhs = 3:
% 82.98/83.20 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V1) | FALSE
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #13: input, references = 3, size of lhs = 4:
% 82.98/83.20 P_nil-{F}(V0), P_x1-{F}(V3), P_x2-{F}(V2), P_x3-{F}(V3) | FALSE
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #14: input, references = 26, size of lhs = 9:
% 82.98/83.20 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_lseg-{F}(V2,V3,V4), P_next-{F}(V1,V2,V5), P_emp-{F}(V6), P_sep-{F}(V5,V6,V7), P_sep-{F}(V4,V7,V8) | heap-{T}(V8)
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #15: input, references = 6, size of lhs = 12:
% 82.98/83.20 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_lseg-{F}(V2,V3,V4), P_next-{F}(V1,V2,V5), P_emp-{F}(V6), P_sep-{F}(V5,V6,V7), P_sep-{F}(V4,V7,V8), P_lseg-{F}(V1,V3,V9), P_sep-{F}(V9,V6,V10), heap-{F}(V10) | FALSE
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #16: input, references = 57, size of lhs = 2:
% 82.98/83.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_sep-{T}(V0,V1,V2)
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #17: input, references = 19, size of lhs = 2:
% 82.98/83.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_lseg-{T}(V0,V1,V2)
% 82.98/83.20 (used 0 times, uses = {})
% 82.98/83.20
% 82.98/83.20 #18: input, references = 23, size of lhs = 2:
% 82.98/83.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_next-{T}(V0,V1,V2)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #19: input, references = 4, size of lhs = 0:
% 82.98/83.21 FALSE | EXISTS V0: P_nil-{T}(V0)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #20: input, references = 4, size of lhs = 0:
% 82.98/83.21 FALSE | EXISTS V0: P_x1-{T}(V0)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #21: input, references = 4, size of lhs = 0:
% 82.98/83.21 FALSE | EXISTS V0: P_x2-{T}(V0)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #22: input, references = 5, size of lhs = 0:
% 82.98/83.21 FALSE | EXISTS V0: P_x3-{T}(V0)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #23: input, references = 6, size of lhs = 0:
% 82.98/83.21 FALSE | EXISTS V0: P_emp-{T}(V0)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 number of initial rules = 24
% 82.98/83.21
% 82.98/83.21 Simplifiers:
% 82.98/83.21 #24: unsound, references = 3, size of lhs = 3:
% 82.98/83.21 P_sep-{F}(V0,V1,V2), P_sep-{F}(V0,V1,V5), V2 == V5 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #25: unsound, references = 3, size of lhs = 3:
% 82.98/83.21 P_lseg-{F}(V0,V1,V2), P_lseg-{F}(V0,V1,V5), V2 == V5 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #26: unsound, references = 3, size of lhs = 3:
% 82.98/83.21 P_next-{F}(V0,V1,V2), P_next-{F}(V0,V1,V5), V2 == V5 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #27: unsound, references = 3, size of lhs = 3:
% 82.98/83.21 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #28: unsound, references = 3, size of lhs = 3:
% 82.98/83.21 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #29: unsound, references = 3, size of lhs = 3:
% 82.98/83.21 P_x2-{F}(V0), P_x2-{F}(V1), V0 == V1 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #30: unsound, references = 3, size of lhs = 3:
% 82.98/83.21 P_x3-{F}(V0), P_x3-{F}(V1), V0 == V1 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #31: unsound, references = 3, size of lhs = 3:
% 82.98/83.21 P_emp-{F}(V0), P_emp-{F}(V1), V0 == V1 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 number of simplifiers = 8
% 82.98/83.21
% 82.98/83.21 Learnt:
% 82.98/83.21 #33: exists( #16, #1 ), references = 24, size of lhs = 2:
% 82.98/83.21 P_lseg-{F}(V0,V0,V1), #-{F} V2 | P_sep-{T}(V1,V2,V2)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #38: exists( #16, #0 ), references = 41, size of lhs = 3:
% 82.98/83.21 P_sep-{F}(V0,V1,V2), P_sep-{F}(V3,V1,V4), P_sep-{F}(V0,V4,V5) | P_sep-{T}(V3,V2,V5)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #61: mergings( V3 == V9; #57 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_lseg-{F}(V8,V8,V9), P_lseg-{F}(V10,V11,V9), V10 == V11, P_lseg-{F}(V10,V12,V9), V10 == V12 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #63: mergings( V3 == V9; #58 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_lseg-{F}(V8,V8,V9), P_lseg-{F}(V7,V10,V9), V10 == V7 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #65: mergings( V3 == V9; #59 ), references = 2, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_next-{F}(V8,V9,V3), P_next-{F}(V8,V10,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #70: mergings( V3 == V8; #66 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V7,V8), P_lseg-{F}(V9,V10,V8), V9 == V10, P_lseg-{F}(V9,V11,V8), V9 == V11 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #73: mergings( V2 == V5; #71 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_lseg-{F}(V4,V4,V5), P_lseg-{F}(V6,V7,V5), V6 == V7, P_lseg-{F}(V6,V8,V5), V6 == V8 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #75: exists( #18, #65 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V3), P_next-{F}(V7,V9,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #94: mergings( V3 == V9; #90 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_sep-{F}(V8,V6,V6), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V8) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #96: mergings( V3 == V9; #91 ), references = 2, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_next-{F}(V8,V9,V5), P_lseg-{F}(V8,V10,V11), V8 == V10, P_sep-{F}(V11,V12,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #98: mergings( V3 == V9; #92 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_lseg-{F}(V8,V8,V9), P_next-{F}(V7,V10,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #103: mergings( V3 == V8; #99 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V7,V5,V5), P_next-{F}(V8,V9,V7), P_next-{F}(V8,V10,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #109: exists( #18, #96 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V0,V7,V8), V0 == V7, P_sep-{F}(V8,V9,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #121: mergings( V3 == V9; #119 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_next-{F}(V8,V9,V5), P_next-{F}(V8,V10,V11), P_sep-{F}(V11,V12,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #124: mergings( V3 == V8; #122 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V0,V7,V8), P_sep-{F}(V8,V9,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #158: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12; #153 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_next-{F}(V1,V2,V3), P_x3-{F}(V4), P_lseg-{F}(V1,V4,V3), P_lseg-{F}(V2,V4,V5), P_lseg-{F}(V6,V6,V5), P_emp-{F}(V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #181: mergings( V3 == V9; #178 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_lseg-{F}(V8,V9,V5), V8 == V9, P_lseg-{F}(V8,V10,V11), V8 == V10, P_sep-{F}(V11,V12,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #209: mergings( V3 == V9, V9 == V10; #206 ), references = 2, size of lhs = 18:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_next-{F}(V8,V9,V5), V8 == V9, P_lseg-{F}(V9,V10,V11), P_sep-{F}(V11,V12,V6), P_lseg-{F}(V8,V10,V13), P_sep-{F}(V13,V12,V14), P_sep-{F}(V15,V16,V14), P_next-{F}(V17,V18,V15), P_next-{F}(V17,V19,V20), P_sep-{F}(V20,V21,V16) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #213: mergings( V3 == V8, V8 == V9; #210 ), references = 3, size of lhs = 16:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V1,V7,V8), P_sep-{F}(V8,V9,V5), P_lseg-{F}(V0,V7,V10), P_sep-{F}(V10,V9,V11), P_sep-{F}(V12,V13,V11), P_next-{F}(V14,V15,V12), P_next-{F}(V14,V16,V17), P_sep-{F}(V17,V18,V13) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #215: exists( #16, #213 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V1,V7,V8), P_lseg-{F}(V0,V7,V9), P_sep-{F}(V8,V10,V5), P_next-{F}(V11,V12,V9), P_next-{F}(V11,V13,V14), P_sep-{F}(V14,V15,V10) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #234: exists( #16, #230 ), references = 1, size of lhs = 17:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V1,V7,V8), P_lseg-{F}(V0,V7,V9), P_sep-{F}(V8,V10,V5), P_sep-{F}(V9,V11,V12), P_sep-{F}(V13,V11,V10), P_sep-{F}(V9,V14,V12), P_sep-{F}(V15,V10,V14), P_next-{F}(V16,V17,V13), P_next-{F}(V16,V18,V15) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #235: exists( #16, #231 ), references = 1, size of lhs = 19:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_next-{F}(V0,V1,V5), P_emp-{F}(V6), P_nil-{F}(V7), P_next-{F}(V8,V9,V5), V8 == V9, P_lseg-{F}(V9,V10,V11), P_lseg-{F}(V8,V10,V12), P_sep-{F}(V11,V13,V6), P_sep-{F}(V12,V14,V15), P_sep-{F}(V16,V14,V13), P_sep-{F}(V12,V17,V15), P_sep-{F}(V18,V13,V17), P_next-{F}(V19,V20,V16), P_next-{F}(V19,V21,V18) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #238: exists( #16, #232 ), references = 1, size of lhs = 15:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V1,V7,V8), P_lseg-{F}(V0,V7,V9), P_sep-{F}(V8,V10,V5), P_sep-{F}(V11,V10,V12), P_sep-{F}(V13,V12,V10), P_next-{F}(V14,V15,V13), P_next-{F}(V14,V16,V11) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #240: exists( #17, #236 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V1,V7,V8), P_sep-{F}(V8,V9,V5), P_sep-{F}(V10,V9,V11), P_sep-{F}(V12,V11,V9), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V10) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #242: exists( #17, #239 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V1,V7,V8), P_sep-{F}(V8,V9,V5), P_sep-{F}(V10,V9,V11), P_sep-{F}(V12,V11,V9), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V10) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #246: exists( #16, #244 ), references = 2, size of lhs = 16:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_lseg-{F}(V4,V4,V3), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V1,V7,V8), P_sep-{F}(V8,V9,V5), P_sep-{F}(V10,V11,V9), P_sep-{F}(V10,V12,V9), P_sep-{F}(V13,V11,V14), P_sep-{F}(V15,V14,V12), P_next-{F}(V16,V17,V15), P_next-{F}(V16,V18,V13) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #249: exists( #17, #247 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V1), P_emp-{F}(V2), P_nil-{F}(V3), P_sep-{F}(V4,V5,V2), P_sep-{F}(V4,V6,V2), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V8,V6), P_next-{F}(V10,V11,V9), P_next-{F}(V10,V12,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #275: mergings( V3 == V9, V9 == V10, V4 == V11, V5 == V12, V6 == V13; #267 ), references = 1, size of lhs = 16:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_next-{F}(V1,V2,V3), P_x3-{F}(V4), P_lseg-{F}(V2,V4,V5), P_lseg-{F}(V6,V6,V5), P_emp-{F}(V7), P_lseg-{F}(V1,V4,V8), P_sep-{F}(V8,V7,V9), P_next-{F}(V10,V11,V3), V10 == V11, P_lseg-{F}(V10,V12,V13), P_sep-{F}(V13,V14,V9), P_lseg-{F}(V11,V12,V15), P_sep-{F}(V15,V14,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #280: mergings( V3 == V7, V7 == V8, V4 == V9; #276 ), references = 2, size of lhs = 14:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V3), P_lseg-{F}(V2,V3,V4), P_lseg-{F}(V5,V5,V4), P_emp-{F}(V6), P_lseg-{F}(V1,V3,V7), P_sep-{F}(V7,V6,V8), P_lseg-{F}(V1,V9,V10), P_sep-{F}(V10,V11,V8), P_lseg-{F}(V2,V9,V12), P_sep-{F}(V12,V11,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #283: exists( #16, #280 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V3), P_lseg-{F}(V2,V3,V4), P_lseg-{F}(V5,V5,V4), P_emp-{F}(V6), P_lseg-{F}(V1,V3,V7), P_lseg-{F}(V1,V8,V7), P_lseg-{F}(V2,V8,V9), P_sep-{F}(V9,V6,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #286: mergings( V5 == V8; #284 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V3), P_emp-{F}(V4), P_lseg-{F}(V2,V3,V5), P_sep-{F}(V5,V4,V4), P_lseg-{F}(V6,V6,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #289: exists( #17, #287 ), references = 1, size of lhs = 6:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V2), P_emp-{F}(V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #291: exists( #23, #288 ), references = 1, size of lhs = 5:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V2) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #319: mergings( V3 == V9; #315 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_lseg-{F}(V7,V8,V3), V8 == V7 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #321: mergings( V3 == V9; #316 ), references = 3, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_sep-{F}(V8,V6,V6), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V8) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #323: mergings( V3 == V9; #317 ), references = 5, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_lseg-{F}(V8,V9,V3), V8 == V9, P_lseg-{F}(V8,V10,V11), V8 == V10, P_sep-{F}(V11,V12,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #328: mergings( V3 == V0; #324 ), references = 2, size of lhs = 8:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_nil-{F}(V1), P_x3-{F}(V2), V2 == V1, P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_sep-{F}(V3,V4,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #330: mergings( V3 == V8; #325 ), references = 4, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_sep-{F}(V3,V4,V5), P_nil-{F}(V6), P_sep-{F}(V7,V5,V5), P_next-{F}(V8,V9,V7), P_next-{F}(V8,V10,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #332: mergings( V3 == V8; #326 ), references = 4, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_sep-{F}(V3,V4,V5), P_nil-{F}(V6), P_lseg-{F}(V1,V7,V8), V1 == V7, P_sep-{F}(V8,V9,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #338: exists( #16, #328 ), references = 1, size of lhs = 7:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_nil-{F}(V1), P_x3-{F}(V2), V2 == V1, P_next-{F}(V0,V1,V3), P_emp-{F}(V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #340: exists( #18, #336 ), references = 1, size of lhs = 6:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_nil-{F}(V1), P_x3-{F}(V2), V2 == V1, P_emp-{F}(V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #342: exists( #23, #339 ), references = 1, size of lhs = 5:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_nil-{F}(V1), P_x3-{F}(V2), V2 == V1 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #344: exists( #22, #341 ), references = 1, size of lhs = 3:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_nil-{F}(V1) | P_x3-{T}(V1)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #383: exists( #16, #377 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V6,V6,V7), P_next-{F}(V8,V9,V7), P_next-{F}(V8,V10,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #384: exists( #16, #378 ), references = 2, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V7,V8), P_lseg-{F}(V9,V10,V3), V9 == V10, P_lseg-{F}(V9,V11,V8), V9 == V11 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #385: exists( #16, #379 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V7,V8), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V8) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #389: exists( #18, #380 ), references = 1, size of lhs = 8:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V5,V5,V6), P_next-{F}(V7,V8,V6), P_next-{F}(V7,V9,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #391: exists( #18, #384 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V6,V6,V7), P_lseg-{F}(V8,V9,V3), V8 == V9, P_lseg-{F}(V8,V10,V7), V8 == V10 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #400: exists( #16, #332 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V1,V6,V3), V1 == V6 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #401: exists( #16, #323 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V8,V3), V7 == V8, P_lseg-{F}(V7,V9,V4), V7 == V9 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #432: exists( #16, #428 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_sep-{F}(V6,V4,V4), P_next-{F}(V7,V8,V6), P_next-{F}(V7,V9,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #433: exists( #16, #429 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V7,V5,V5), P_next-{F}(V8,V9,V7), P_next-{F}(V8,V10,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #436: exists( #18, #430 ), references = 1, size of lhs = 8:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_emp-{F}(V3), P_nil-{F}(V4), P_sep-{F}(V5,V3,V3), P_next-{F}(V6,V7,V5), P_next-{F}(V6,V8,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #448: exists( #16, #444 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V8,V3), V7 == V8, P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V5), P_sep-{F}(V4,V11,V12) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #449: exists( #16, #445 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V1,V6,V7), V1 == V6, P_sep-{F}(V7,V8,V4), P_sep-{F}(V3,V8,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #452: exists( #16, #446 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V8,V3), V7 == V8, P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #453: exists( #16, #447 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V1,V6,V7), V1 == V6, P_sep-{F}(V7,V8,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #456: exists( #18, #450 ), references = 2, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V6,V7,V3), V6 == V7, P_lseg-{F}(V6,V8,V9), V6 == V8, P_sep-{F}(V9,V10,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #491: mergings( V3 == V8; #487 ), references = 3, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V4,V7,V8), P_sep-{F}(V9,V10,V8), P_next-{F}(V11,V12,V9), P_next-{F}(V11,V13,V14), P_sep-{F}(V14,V15,V10) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #493: mergings( V3 == V8; #488 ), references = 3, size of lhs = 15:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V4,V7,V8), P_sep-{F}(V9,V10,V8), P_lseg-{F}(V11,V12,V9), V11 == V12, P_lseg-{F}(V11,V13,V14), V11 == V13, P_sep-{F}(V14,V15,V10) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #495: mergings( V3 == V8; #489 ), references = 3, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V4,V7,V8), P_sep-{F}(V9,V10,V8), P_next-{F}(V11,V12,V9), P_lseg-{F}(V11,V13,V14), V11 == V13, P_sep-{F}(V14,V15,V10) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #505: exists( #16, #495 ), references = 4, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_next-{F}(V8,V9,V4), P_lseg-{F}(V8,V10,V11), V8 == V10, P_sep-{F}(V11,V12,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #506: exists( #16, #491 ), references = 3, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_next-{F}(V8,V9,V4), P_next-{F}(V8,V10,V11), P_sep-{F}(V11,V12,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #509: exists( #18, #502 ), references = 3, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_sep-{F}(V3,V4,V6), P_lseg-{F}(V0,V7,V8), V0 == V7, P_sep-{F}(V8,V9,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #510: exists( #18, #503 ), references = 3, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_sep-{F}(V3,V4,V6), P_next-{F}(V0,V7,V8), P_sep-{F}(V8,V9,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #523: mergings( V3 == V9; #519 ), references = 2, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_lseg-{F}(V8,V8,V9), P_lseg-{F}(V10,V11,V9), V10 == V11, P_lseg-{F}(V10,V12,V9), V10 == V12 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #525: mergings( V3 == V9; #520 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_lseg-{F}(V8,V8,V9), P_lseg-{F}(V7,V10,V9), V10 == V7 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #530: exists( #16, #526 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V6,V6,V7), P_lseg-{F}(V0,V8,V7), V0 == V8 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #535: exists( #16, #505 ), references = 2, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V4), P_lseg-{F}(V7,V9,V3), V7 == V9 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #542: exists( #16, #540 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V7,V8), P_next-{F}(V9,V10,V4), P_lseg-{F}(V9,V11,V8), V9 == V11 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #555: exists( #16, #549 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_next-{F}(V0,V6,V7), P_sep-{F}(V7,V8,V4), P_sep-{F}(V3,V8,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #556: exists( #16, #550 ), references = 2, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V0,V6,V7), V0 == V6, P_sep-{F}(V7,V8,V4), P_sep-{F}(V3,V8,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #557: exists( #16, #551 ), references = 2, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V4), P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V5), P_sep-{F}(V3,V11,V12) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #561: exists( #16, #552 ), references = 1, size of lhs = 8:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_next-{F}(V0,V6,V7), P_sep-{F}(V7,V8,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #563: exists( #17, #558 ), references = 1, size of lhs = 7:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_emp-{F}(V3), P_nil-{F}(V4), P_next-{F}(V0,V5,V6), P_sep-{F}(V6,V7,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #571: exists( #16, #556 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V0,V6,V7), V0 == V6, P_sep-{F}(V7,V8,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #573: exists( #17, #570 ), references = 1, size of lhs = 8:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V0,V5,V6), V0 == V5, P_sep-{F}(V6,V7,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #589: exists( #16, #523 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V7,V8), P_lseg-{F}(V9,V10,V8), V9 == V10, P_lseg-{F}(V9,V11,V8), V9 == V11 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #591: exists( #18, #588 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V6,V6,V7), P_lseg-{F}(V8,V9,V7), V8 == V9, P_lseg-{F}(V8,V10,V7), V8 == V10 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #593: exists( #17, #590 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V5,V5,V6), P_lseg-{F}(V7,V8,V6), V7 == V8, P_lseg-{F}(V7,V9,V6), V7 == V9 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #599: exists( #17, #456 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_emp-{F}(V3), P_nil-{F}(V4), P_lseg-{F}(V1,V5,V6), V1 == V5, P_sep-{F}(V6,V7,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #604: exists( #16, #557 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V4), P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #634: exists( #16, #628 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V1,V6,V7), V1 == V6, P_sep-{F}(V7,V8,V8), P_sep-{F}(V3,V9,V8), P_sep-{F}(V10,V9,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #635: exists( #16, #629 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V8,V3), V7 == V8, P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V11), P_sep-{F}(V4,V12,V11), P_sep-{F}(V13,V12,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #636: exists( #16, #630 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_next-{F}(V0,V1,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_sep-{F}(V3,V6,V7), P_sep-{F}(V8,V6,V4), P_sep-{F}(V9,V7,V7), P_next-{F}(V10,V11,V9), P_next-{F}(V10,V12,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #650: exists( #16, #493 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_lseg-{F}(V8,V9,V4), V8 == V9, P_lseg-{F}(V8,V10,V11), V8 == V10, P_sep-{F}(V11,V12,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #653: exists( #16, #651 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V8,V4), V7 == V8, P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V5), P_sep-{F}(V3,V11,V12) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #655: exists( #16, #652 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V8,V4), V7 == V8, P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #695: exists( #16, #691 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V8,V7), P_next-{F}(V11,V12,V10), P_lseg-{F}(V11,V13,V14), V11 == V13, P_sep-{F}(V14,V15,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #696: exists( #16, #692 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V8,V7), P_next-{F}(V11,V12,V10), P_next-{F}(V11,V13,V14), P_sep-{F}(V14,V15,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #701: exists( #16, #697 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V8,V11), P_sep-{F}(V12,V11,V7), P_next-{F}(V13,V14,V12), P_lseg-{F}(V13,V15,V10), V13 == V15 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #702: exists( #16, #698 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V8,V11), P_sep-{F}(V12,V11,V7), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V10) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #705: exists( #16, #699 ), references = 2, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,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
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #706: exists( #16, #700 ), references = 2, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,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
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #709: exists( #16, #703 ), references = 2, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V3), P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #710: exists( #16, #704 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V3), P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #716: exists( #16, #714 ), references = 2, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V7,V8), P_sep-{F}(V9,V7,V5), P_next-{F}(V10,V11,V9), P_lseg-{F}(V10,V12,V13), V10 == V12, P_sep-{F}(V13,V14,V8) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #718: exists( #16, #715 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V7,V8,V3), V7 == V8, P_next-{F}(V7,V9,V10), P_sep-{F}(V10,V11,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #720: exists( #18, #717 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V6,V7,V3), V6 == V7, P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #722: exists( #17, #719 ), references = 1, size of lhs = 8:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_emp-{F}(V3), P_nil-{F}(V4), P_next-{F}(V1,V5,V6), P_sep-{F}(V6,V7,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #724: exists( #18, #535 ), references = 1, size of lhs = 8:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V0,V6,V3), V0 == V6 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #734: exists( #16, #732 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V7,V8), P_sep-{F}(V9,V7,V10), P_sep-{F}(V11,V10,V5), P_next-{F}(V12,V13,V11), P_lseg-{F}(V12,V14,V9), V12 == V14 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #736: exists( #16, #733 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V7,V8,V5), P_next-{F}(V9,V10,V7), P_lseg-{F}(V9,V11,V12), V9 == V11, P_sep-{F}(V12,V13,V8) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #738: exists( #18, #735 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_sep-{F}(V6,V7,V4), P_next-{F}(V8,V9,V6), P_lseg-{F}(V8,V10,V11), V8 == V10, P_sep-{F}(V11,V12,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #740: exists( #17, #737 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_emp-{F}(V3), P_nil-{F}(V4), P_sep-{F}(V5,V6,V3), P_next-{F}(V7,V8,V5), P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #745: exists( #18, #709 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_next-{F}(V6,V7,V3), P_lseg-{F}(V6,V8,V9), V6 == V8, P_sep-{F}(V9,V10,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #755: exists( #16, #753 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V4), P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V5), P_sep-{F}(V3,V11,V12) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #757: exists( #16, #754 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V4), P_lseg-{F}(V7,V9,V10), V7 == V9, P_sep-{F}(V10,V11,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #770: exists( #16, #768 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V8,V9,V7), P_sep-{F}(V8,V10,V11), P_sep-{F}(V12,V10,V13), P_sep-{F}(V14,V13,V9), P_next-{F}(V15,V16,V14), P_next-{F}(V15,V17,V12) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #772: exists( #16, #769 ), references = 1, size of lhs = 11:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V8,V5), P_next-{F}(V10,V11,V9), P_next-{F}(V10,V12,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #774: exists( #18, #771 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_sep-{F}(V6,V4,V7), P_sep-{F}(V8,V7,V4), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V6) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #776: exists( #17, #773 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_emp-{F}(V3), P_nil-{F}(V4), P_sep-{F}(V5,V3,V6), P_sep-{F}(V7,V6,V3), P_next-{F}(V8,V9,V7), P_next-{F}(V8,V10,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #784: exists( #16, #510 ), references = 1, size of lhs = 7:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_next-{F}(V0,V6,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #785: exists( #16, #506 ), references = 1, size of lhs = 9:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V4), P_next-{F}(V7,V9,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #805: exists( #16, #799 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_sep-{F}(V8,V7,V7), P_lseg-{F}(V9,V10,V8), V9 == V10, P_lseg-{F}(V9,V11,V8), V9 == V11 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #807: mergings( V3 == V11; #804 ), references = 1, size of lhs = 15:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_sep-{F}(V8,V9,V6), P_sep-{F}(V3,V9,V10), P_sep-{F}(V11,V10,V10), P_lseg-{F}(V12,V13,V11), V12 == V13, P_lseg-{F}(V12,V14,V11), V12 == V14 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #827: mergings( V3 == V11, V11 == V12, V4 == V13, V5 == V14, V8 == V16, V6 == V15, V9 == V17; #817 ), references = 1, size of lhs = 18:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_lseg-{F}(V2,V3,V4), P_next-{F}(V1,V2,V5), P_emp-{F}(V6), P_sep-{F}(V5,V6,V7), P_lseg-{F}(V1,V3,V8), P_sep-{F}(V8,V6,V9), P_sep-{F}(V4,V10,V11), P_sep-{F}(V12,V10,V7), P_next-{F}(V13,V14,V12), V13 == V14, P_lseg-{F}(V13,V15,V16), P_sep-{F}(V16,V17,V9), P_lseg-{F}(V14,V15,V18), P_sep-{F}(V18,V17,V11) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #830: mergings( V3 == V11, V11 == V12; #818 ), references = 1, size of lhs = 18:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_sep-{F}(V3,V8,V9), P_sep-{F}(V10,V8,V6), P_next-{F}(V7,V11,V12), P_sep-{F}(V12,V13,V14), P_next-{F}(V15,V16,V10), V15 == V16, P_lseg-{F}(V15,V17,V18), P_sep-{F}(V18,V19,V14), P_lseg-{F}(V16,V17,V20), P_sep-{F}(V20,V19,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #833: mergings( V3 == V11, V11 == V12; #819 ), references = 1, size of lhs = 21:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_sep-{F}(V3,V8,V9), P_sep-{F}(V10,V8,V6), P_next-{F}(V11,V12,V10), V11 == V12, P_lseg-{F}(V12,V13,V14), P_sep-{F}(V14,V15,V9), P_lseg-{F}(V11,V13,V16), P_sep-{F}(V16,V15,V17), P_sep-{F}(V18,V19,V17), P_next-{F}(V20,V21,V18), P_lseg-{F}(V20,V22,V23), V20 == V22, P_sep-{F}(V23,V24,V19) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #842: mergings( V3 == V8, V8 == V9, V4 == V10, V5 == V11, V6 == V12; #834 ), references = 1, size of lhs = 16:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_next-{F}(V1,V2,V3), P_x3-{F}(V4), P_lseg-{F}(V2,V4,V5), P_emp-{F}(V6), P_lseg-{F}(V1,V4,V7), P_sep-{F}(V7,V6,V8), P_sep-{F}(V5,V6,V9), P_next-{F}(V10,V11,V3), V10 == V11, P_lseg-{F}(V10,V12,V13), P_sep-{F}(V13,V14,V8), P_lseg-{F}(V11,V12,V15), P_sep-{F}(V15,V14,V9) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #845: mergings( V3 == V8, V8 == V9; #835 ), references = 1, size of lhs = 16:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_next-{F}(V6,V8,V9), P_sep-{F}(V9,V10,V11), P_next-{F}(V12,V13,V4), V12 == V13, P_lseg-{F}(V12,V14,V15), P_sep-{F}(V15,V16,V11), P_lseg-{F}(V13,V14,V17), P_sep-{F}(V17,V16,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #848: mergings( V3 == V8, V8 == V9; #836 ), references = 1, size of lhs = 19:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_sep-{F}(V3,V5,V7), P_next-{F}(V8,V9,V4), V8 == V9, P_lseg-{F}(V9,V10,V11), P_sep-{F}(V11,V12,V7), P_lseg-{F}(V8,V10,V13), P_sep-{F}(V13,V12,V14), P_sep-{F}(V15,V16,V14), P_next-{F}(V17,V18,V15), P_lseg-{F}(V17,V19,V20), V17 == V19, P_sep-{F}(V20,V21,V16) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #857: mergings( V3 == V8, V8 == V9, V4 == V10, V5 == V11, V6 == V12; #849 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_next-{F}(V1,V2,V3), P_x3-{F}(V4), P_lseg-{F}(V2,V4,V5), P_emp-{F}(V6), P_lseg-{F}(V1,V4,V7), P_sep-{F}(V7,V6,V8), P_sep-{F}(V9,V6,V8), P_next-{F}(V10,V11,V3), V10 == V11, P_lseg-{F}(V10,V12,V9), P_lseg-{F}(V11,V12,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #860: mergings( V3 == V8, V8 == V9; #850 ), references = 1, size of lhs = 14:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V6,V7,V8), P_sep-{F}(V8,V9,V10), P_sep-{F}(V11,V5,V10), P_next-{F}(V12,V13,V4), V12 == V13, P_lseg-{F}(V12,V14,V11), P_lseg-{F}(V13,V14,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #863: mergings( V3 == V8, V8 == V9; #851 ), references = 1, size of lhs = 17:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V4), V7 == V8, P_lseg-{F}(V8,V9,V3), P_lseg-{F}(V7,V9,V10), P_sep-{F}(V10,V5,V11), P_sep-{F}(V12,V13,V11), P_next-{F}(V14,V15,V12), P_lseg-{F}(V14,V16,V17), V14 == V16, P_sep-{F}(V17,V18,V13) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #872: mergings( V3 == V9, V9 == V10, V4 == V11, V5 == V12, V6 == V13; #864 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_next-{F}(V1,V2,V3), P_x3-{F}(V4), P_lseg-{F}(V2,V4,V5), P_emp-{F}(V6), P_lseg-{F}(V1,V4,V7), P_next-{F}(V8,V9,V3), V8 == V9, P_lseg-{F}(V8,V10,V7), P_lseg-{F}(V9,V10,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #875: mergings( V3 == V9, V9 == V10; #865 ), references = 1, size of lhs = 12:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V6,V7,V8), P_next-{F}(V9,V10,V4), V9 == V10, P_lseg-{F}(V9,V11,V8), P_lseg-{F}(V10,V11,V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #878: mergings( V3 == V9, V9 == V10; #866 ), references = 1, size of lhs = 15:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_next-{F}(V0,V1,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_next-{F}(V7,V8,V4), V7 == V8, P_lseg-{F}(V8,V9,V3), P_lseg-{F}(V7,V9,V10), P_next-{F}(V11,V12,V10), P_lseg-{F}(V11,V13,V14), V11 == V13, P_sep-{F}(V14,V15,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #885: mergings( V3 == V6, V6 == V7, V4 == V8; #879 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V3), P_lseg-{F}(V2,V3,V4), P_emp-{F}(V5), P_lseg-{F}(V1,V3,V6), P_lseg-{F}(V1,V7,V6), P_lseg-{F}(V2,V7,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #888: mergings( V3 == V7, V7 == V8; #880 ), references = 1, size of lhs = 10:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V1,V6,V3), P_lseg-{F}(V0,V6,V7), P_next-{F}(V5,V8,V7) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #891: mergings( V3 == V7, V7 == V8; #881 ), references = 1, size of lhs = 13:
% 82.98/83.21 P_x1-{F}(V0), P_x2-{F}(V1), V0 == V1, P_x3-{F}(V2), P_lseg-{F}(V1,V2,V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V1,V6,V3), P_lseg-{F}(V0,V6,V7), P_next-{F}(V8,V9,V7), P_lseg-{F}(V8,V10,V11), V8 == V10, P_sep-{F}(V11,V12,V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #897: mergings( V3 == V4, V4 == V5; #892 ), references = 1, size of lhs = 7:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V3), P_emp-{F}(V4), P_lseg-{F}(V1,V3,V5) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #901: mergings( V3 == V4, V4 == V5; #898 ), references = 1, size of lhs = 6:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V3), P_emp-{F}(V4) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #905: mergings( V1 == V2, V2 == V3; #902 ), references = 1, size of lhs = 5:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2, P_x3-{F}(V3) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #909: mergings( V1 == V2, V2 == V3; #906 ), references = 1, size of lhs = 4:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), V1 == V2 | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #913: mergings( V1 == V2, V2 == V3; #910 ), references = 1, size of lhs = 2:
% 82.98/83.21 P_nil-{F}(V0), P_x1-{F}(V1) | P_x2-{T}(V1)
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #919: mergings( V1 == V2, V2 == V3, V3 == V4; #915 ), references = 1, size of lhs = 1:
% 82.98/83.21 P_nil-{F}(V0) | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 #921: exists( #19, #915 ), references = 1, size of lhs = 0:
% 82.98/83.21 FALSE | FALSE
% 82.98/83.21 (used 0 times, uses = {})
% 82.98/83.21
% 82.98/83.21 number of learnt formulas = 138
% 82.98/83.21
% 82.98/83.21
% 82.98/83.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.98/83.21
% 82.98/83.21 randbase = 1
%------------------------------------------------------------------------------