%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWW413-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:22:47 EDT 2022
% Result : Unsatisfiable 14.17s 14.36s
% Output : Refutation 14.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW413-1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 10:04:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 14.17/14.36 GeoParameters:
% 14.17/14.36
% 14.17/14.36 tptp_input = 1
% 14.17/14.36 tptp_output = 0
% 14.17/14.36 nonempty = 1
% 14.17/14.36 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.17/14.36 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 14.17/14.36
% 14.17/14.36
% 14.17/14.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.17/14.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.17/14.36
% 14.17/14.36 RuleSystem INPUT:
% 14.17/14.36
% 14.17/14.36 Initial Rules:
% 14.17/14.36 #0: input, references = 4, size of lhs = 5:
% 14.17/14.36 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
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #1: input, references = 4, size of lhs = 3:
% 14.17/14.36 P_lseg-{F}(V1,V1,V2), P_sep-{F}(V2,V0,V3), V3 == V0 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #2: input, references = 5, size of lhs = 4:
% 14.17/14.36 P_nil-{F}(V0), P_next-{F}(V0,V2,V3), P_sep-{F}(V3,V1,V4), heap-{F}(V4) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #3: input, references = 3, size of lhs = 5:
% 14.17/14.36 P_nil-{F}(V0), P_lseg-{F}(V0,V1,V2), P_sep-{F}(V2,V3,V4), heap-{F}(V4), V1 == V0 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #4: input, references = 6, size of lhs = 6:
% 14.17/14.36 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
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #5: input, references = 5, size of lhs = 7:
% 14.17/14.36 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
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #6: input, references = 6, size of lhs = 8:
% 14.17/14.36 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
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #7: input, references = 6, size of lhs = 9:
% 14.17/14.36 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)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #8: input, references = 3, size of lhs = 8:
% 14.17/14.36 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)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #9: input, references = 3, size of lhs = 10:
% 14.17/14.36 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)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #10: input, references = 3, size of lhs = 11:
% 14.17/14.36 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)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #11: input, references = 3, size of lhs = 2:
% 14.17/14.36 P_nil-{F}(V1), P_x1-{F}(V1) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #12: input, references = 3, size of lhs = 3:
% 14.17/14.36 P_nil-{F}(V2), P_x1-{F}(V1), P_x2-{F}(V2) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #13: input, references = 4, size of lhs = 4:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V2) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #14: input, references = 3, size of lhs = 5:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_x4-{F}(V1) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #15: input, references = 3, size of lhs = 5:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_x4-{F}(V2) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #16: input, references = 4, size of lhs = 5:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V2), P_x2-{F}(V2), P_x3-{F}(V3), P_x4-{F}(V4) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #17: input, references = 14, size of lhs = 10:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_x4-{F}(V4), P_lseg-{F}(V3,V0,V5), P_next-{F}(V2,V3,V6), P_emp-{F}(V7), P_sep-{F}(V6,V7,V8), P_sep-{F}(V5,V8,V9) | heap-{T}(V9)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #18: input, references = 4, size of lhs = 13:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_x4-{F}(V4), P_lseg-{F}(V3,V0,V5), P_next-{F}(V2,V3,V6), P_emp-{F}(V7), P_sep-{F}(V6,V7,V8), P_sep-{F}(V5,V8,V9), P_lseg-{F}(V2,V0,V10), P_sep-{F}(V10,V7,V11), heap-{F}(V11) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #19: input, references = 34, size of lhs = 2:
% 14.17/14.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_sep-{T}(V0,V1,V2)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #20: input, references = 10, size of lhs = 2:
% 14.17/14.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_lseg-{T}(V0,V1,V2)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #21: input, references = 8, size of lhs = 2:
% 14.17/14.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_next-{T}(V0,V1,V2)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #22: input, references = 4, size of lhs = 0:
% 14.17/14.36 FALSE | EXISTS V0: P_nil-{T}(V0)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #23: input, references = 4, size of lhs = 0:
% 14.17/14.36 FALSE | EXISTS V0: P_x1-{T}(V0)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #24: input, references = 4, size of lhs = 0:
% 14.17/14.36 FALSE | EXISTS V0: P_x2-{T}(V0)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #25: input, references = 5, size of lhs = 0:
% 14.17/14.36 FALSE | EXISTS V0: P_x3-{T}(V0)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #26: input, references = 5, size of lhs = 0:
% 14.17/14.36 FALSE | EXISTS V0: P_x4-{T}(V0)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #27: input, references = 4, size of lhs = 0:
% 14.17/14.36 FALSE | EXISTS V0: P_emp-{T}(V0)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 number of initial rules = 28
% 14.17/14.36
% 14.17/14.36 Simplifiers:
% 14.17/14.36 #28: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_sep-{F}(V0,V1,V2), P_sep-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #29: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_lseg-{F}(V0,V1,V2), P_lseg-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #30: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_next-{F}(V0,V1,V2), P_next-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #31: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #32: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #33: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_x2-{F}(V0), P_x2-{F}(V1), V0 == V1 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #34: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_x3-{F}(V0), P_x3-{F}(V1), V0 == V1 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #35: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_x4-{F}(V0), P_x4-{F}(V1), V0 == V1 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #36: unsound, references = 3, size of lhs = 3:
% 14.17/14.36 P_emp-{F}(V0), P_emp-{F}(V1), V0 == V1 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 number of simplifiers = 9
% 14.17/14.36
% 14.17/14.36 Learnt:
% 14.17/14.36 #38: exists( #26, #16 ), references = 1, size of lhs = 4:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V1), P_x3-{F}(V2) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #40: exists( #25, #37 ), references = 1, size of lhs = 3:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V1) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #42: exists( #19, #0 ), references = 37, size of lhs = 3:
% 14.17/14.36 P_sep-{F}(V0,V1,V2), P_sep-{F}(V3,V1,V4), P_sep-{F}(V0,V4,V5) | P_sep-{T}(V3,V2,V5)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #44: exists( #19, #1 ), references = 4, size of lhs = 2:
% 14.17/14.36 P_lseg-{F}(V0,V0,V1), #-{F} V2 | P_sep-{T}(V1,V2,V2)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #68: mergings( V3 == V9; #64 ), references = 4, size of lhs = 14:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V11,V9), P_next-{F}(V12,V13,V10), P_next-{F}(V12,V14,V15), P_sep-{F}(V15,V16,V11) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #70: mergings( V3 == V9; #65 ), references = 4, size of lhs = 16:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V11,V9), P_lseg-{F}(V12,V13,V10), V12 == V13, P_lseg-{F}(V12,V14,V15), V12 == V14, P_sep-{F}(V15,V16,V11) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #72: mergings( V3 == V9; #66 ), references = 4, size of lhs = 15:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V11,V9), P_next-{F}(V12,V13,V10), P_lseg-{F}(V12,V14,V15), V12 == V14, P_sep-{F}(V15,V16,V11) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #105: exists( #19, #100 ), references = 1, size of lhs = 16:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_lseg-{F}(V9,V9,V10), P_sep-{F}(V11,V12,V8), P_sep-{F}(V4,V12,V13), P_sep-{F}(V14,V15,V13), P_sep-{F}(V11,V15,V16), P_next-{F}(V17,V18,V10), P_next-{F}(V17,V19,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #106: exists( #19, #98 ), references = 1, size of lhs = 18:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V10,V8), P_sep-{F}(V4,V10,V11), P_sep-{F}(V12,V13,V11), P_sep-{F}(V9,V13,V14), P_sep-{F}(V15,V14,V14), P_lseg-{F}(V16,V17,V15), V16 == V17, P_lseg-{F}(V16,V18,V15), V16 == V18 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #107: exists( #19, #101 ), references = 1, size of lhs = 18:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_lseg-{F}(V9,V9,V10), P_sep-{F}(V11,V12,V8), P_sep-{F}(V4,V12,V13), P_sep-{F}(V14,V15,V13), P_sep-{F}(V11,V15,V16), P_sep-{F}(V17,V16,V16), P_next-{F}(V18,V19,V10), P_lseg-{F}(V18,V20,V17), V18 == V20 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #111: exists( #19, #102 ), references = 1, size of lhs = 16:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_lseg-{F}(V9,V9,V10), P_sep-{F}(V11,V12,V8), P_sep-{F}(V4,V12,V13), P_sep-{F}(V14,V15,V13), P_sep-{F}(V11,V15,V16), P_next-{F}(V17,V18,V10), P_next-{F}(V17,V19,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #112: exists( #19, #103 ), references = 1, size of lhs = 18:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V10,V8), P_sep-{F}(V4,V10,V11), P_sep-{F}(V12,V13,V11), P_sep-{F}(V9,V13,V14), P_sep-{F}(V15,V14,V14), P_lseg-{F}(V16,V17,V15), V16 == V17, P_lseg-{F}(V16,V18,V15), V16 == V18 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #113: exists( #19, #104 ), references = 1, size of lhs = 18:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_lseg-{F}(V9,V9,V10), P_sep-{F}(V11,V12,V8), P_sep-{F}(V4,V12,V13), P_sep-{F}(V14,V15,V13), P_sep-{F}(V11,V15,V16), P_sep-{F}(V17,V16,V16), P_next-{F}(V18,V19,V10), P_lseg-{F}(V18,V20,V17), V18 == V20 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #118: mergings( V10 == V14; #114 ), references = 1, size of lhs = 13:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_lseg-{F}(V9,V9,V10), P_sep-{F}(V11,V12,V8), P_next-{F}(V13,V14,V10), P_next-{F}(V13,V15,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #120: mergings( V10 == V12; #115 ), references = 1, size of lhs = 15:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V8,V8), P_sep-{F}(V10,V11,V8), P_lseg-{F}(V12,V13,V9), V12 == V13, P_lseg-{F}(V12,V14,V9), V12 == V14 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #122: mergings( V10 == V14; #116 ), references = 1, size of lhs = 15:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V8,V8), P_lseg-{F}(V10,V10,V11), P_sep-{F}(V12,V13,V8), P_next-{F}(V14,V15,V11), P_lseg-{F}(V14,V16,V9), V14 == V16 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #127: mergings( V11 == V16; #123 ), references = 1, size of lhs = 13:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_lseg-{F}(V9,V9,V10), P_sep-{F}(V11,V12,V8), P_next-{F}(V13,V14,V10), P_next-{F}(V13,V15,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #129: mergings( V11 == V14; #124 ), references = 1, size of lhs = 15:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V8,V8), P_sep-{F}(V10,V11,V8), P_lseg-{F}(V12,V13,V9), V12 == V13, P_lseg-{F}(V12,V14,V9), V12 == V14 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #131: mergings( V11 == V16; #125 ), references = 1, size of lhs = 15:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V8,V8), P_lseg-{F}(V10,V10,V11), P_sep-{F}(V12,V13,V8), P_next-{F}(V14,V15,V11), P_lseg-{F}(V14,V16,V9), V14 == V16 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #136: mergings( V8 == V13; #132 ), references = 2, size of lhs = 12:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_lseg-{F}(V8,V8,V9), P_sep-{F}(V10,V11,V7), P_next-{F}(V12,V13,V9), P_next-{F}(V12,V14,V9) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #138: mergings( V8 == V11; #133 ), references = 3, size of lhs = 14:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_sep-{F}(V8,V7,V7), P_sep-{F}(V9,V10,V7), P_lseg-{F}(V11,V12,V8), V11 == V12, P_lseg-{F}(V11,V13,V8), V11 == V13 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #140: mergings( V8 == V13; #134 ), references = 1, size of lhs = 14:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_sep-{F}(V8,V7,V7), P_lseg-{F}(V9,V9,V10), P_sep-{F}(V11,V12,V7), P_next-{F}(V13,V14,V10), P_lseg-{F}(V13,V15,V8), V13 == V15 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #155: exists( #19, #136 ), references = 1, size of lhs = 10:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_lseg-{F}(V7,V7,V8), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V8) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #157: exists( #20, #154 ), references = 1, size of lhs = 9:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(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
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #169: exists( #19, #163 ), references = 1, size of lhs = 12:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_lseg-{F}(V7,V7,V8), P_lseg-{F}(V9,V10,V8), V9 == V10, P_lseg-{F}(V9,V11,V8), V9 == V11 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #171: exists( #20, #166 ), references = 1, size of lhs = 11:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(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
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #184: exists( #19, #178 ), references = 1, size of lhs = 12:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V7,V4,V4), P_lseg-{F}(V8,V9,V7), V8 == V9, P_lseg-{F}(V8,V10,V7), V8 == V10 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #186: exists( #20, #181 ), references = 1, size of lhs = 11:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_sep-{F}(V6,V4,V4), P_lseg-{F}(V7,V8,V6), V7 == V8, P_lseg-{F}(V7,V9,V6), V7 == V9 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #193: exists( #19, #72 ), references = 2, size of lhs = 13:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_next-{F}(V9,V10,V4), P_lseg-{F}(V9,V11,V12), V9 == V11, P_sep-{F}(V12,V13,V8) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #194: exists( #19, #68 ), references = 2, size of lhs = 12:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_next-{F}(V9,V10,V4), P_next-{F}(V9,V11,V12), P_sep-{F}(V12,V13,V8) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #197: exists( #21, #190 ), references = 3, size of lhs = 11:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_lseg-{F}(V1,V8,V9), V1 == V8, P_sep-{F}(V9,V10,V7) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #199: exists( #21, #194 ), references = 3, size of lhs = 10:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_next-{F}(V1,V8,V9), P_sep-{F}(V9,V10,V7) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #237: exists( #19, #70 ), references = 1, size of lhs = 14:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_lseg-{F}(V9,V10,V4), V9 == V10, P_lseg-{F}(V9,V11,V12), V9 == V11, P_sep-{F}(V12,V13,V8) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #263: exists( #19, #256 ), references = 1, size of lhs = 17:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V9,V10), P_sep-{F}(V11,V9,V8), P_sep-{F}(V12,V13,V10), P_sep-{F}(V11,V13,V14), P_sep-{F}(V12,V15,V10), P_sep-{F}(V16,V14,V15), P_next-{F}(V17,V18,V11), P_next-{F}(V17,V19,V16) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #264: exists( #19, #257 ), references = 1, size of lhs = 19:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V9,V10), P_sep-{F}(V11,V9,V8), P_sep-{F}(V12,V13,V10), P_sep-{F}(V11,V13,V14), P_sep-{F}(V12,V15,V10), P_sep-{F}(V16,V14,V15), P_lseg-{F}(V17,V18,V11), V17 == V18, P_lseg-{F}(V17,V19,V16), V17 == V19 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #265: exists( #19, #259 ), references = 1, size of lhs = 17:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V9,V10), P_sep-{F}(V11,V9,V8), P_sep-{F}(V12,V13,V10), P_sep-{F}(V11,V13,V14), P_sep-{F}(V15,V14,V14), P_next-{F}(V16,V17,V15), P_lseg-{F}(V16,V18,V11), V16 == V18 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #270: mergings( V10 == V12; #267 ), references = 1, size of lhs = 15:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V11,V10,V8), P_lseg-{F}(V12,V13,V11), V12 == V13, P_lseg-{F}(V12,V14,V9), V12 == V14 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #272: mergings( V10 == V12; #268 ), references = 2, size of lhs = 13:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V9,V8,V10), P_sep-{F}(V11,V10,V8), P_next-{F}(V12,V13,V11), P_next-{F}(V12,V14,V9) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #276: mergings( V8 == V11; #273 ), references = 2, size of lhs = 14:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_sep-{F}(V8,V7,V9), P_sep-{F}(V10,V9,V7), P_lseg-{F}(V11,V12,V10), V11 == V12, P_lseg-{F}(V11,V13,V8), V11 == V13 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #278: mergings( V8 == V11; #274 ), references = 3, size of lhs = 12:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_sep-{F}(V8,V7,V9), P_sep-{F}(V10,V9,V7), P_next-{F}(V11,V12,V10), P_next-{F}(V11,V13,V8) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #289: exists( #19, #197 ), references = 1, size of lhs = 9:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_lseg-{F}(V1,V7,V6), V1 == V7 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #315: mergings( V3 == V10; #311 ), references = 1, size of lhs = 14:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_lseg-{F}(V2,V7,V8), P_lseg-{F}(V9,V10,V8), V9 == V10, P_lseg-{F}(V9,V11,V12), V9 == V11, P_sep-{F}(V12,V13,V6) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #317: mergings( V3 == V10; #312 ), references = 1, size of lhs = 12:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_lseg-{F}(V2,V7,V8), P_next-{F}(V9,V10,V8), P_next-{F}(V9,V11,V12), P_sep-{F}(V12,V13,V6) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #319: mergings( V3 == V10; #313 ), references = 1, size of lhs = 13:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_sep-{F}(V4,V5,V6), P_nil-{F}(V7), P_lseg-{F}(V2,V7,V8), P_next-{F}(V9,V10,V8), P_lseg-{F}(V9,V11,V12), V9 == V11, P_sep-{F}(V12,V13,V6) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #329: exists( #19, #199 ), references = 1, size of lhs = 8:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_next-{F}(V1,V7,V6) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #334: exists( #19, #330 ), references = 1, size of lhs = 10:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V7,V4,V4), P_next-{F}(V8,V9,V7), P_next-{F}(V8,V10,V7) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #336: exists( #20, #332 ), references = 1, size of lhs = 9:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(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
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #356: exists( #19, #350 ), references = 1, size of lhs = 11:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_lseg-{F}(V1,V7,V8), V1 == V7, P_sep-{F}(V8,V9,V4), P_sep-{F}(V6,V9,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #357: exists( #19, #351 ), references = 2, size of lhs = 10:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_next-{F}(V1,V7,V8), P_sep-{F}(V8,V9,V4), P_sep-{F}(V6,V9,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #358: exists( #19, #352 ), references = 1, size of lhs = 13:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_next-{F}(V8,V9,V4), P_lseg-{F}(V8,V10,V11), V8 == V10, P_sep-{F}(V11,V12,V5), P_sep-{F}(V7,V12,V13) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #362: exists( #19, #353 ), references = 1, size of lhs = 10:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_lseg-{F}(V1,V7,V8), V1 == V7, P_sep-{F}(V8,V9,V4) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #364: exists( #19, #357 ), references = 1, size of lhs = 9:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_next-{F}(V1,V7,V8), P_sep-{F}(V8,V9,V4) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #380: exists( #19, #374 ), references = 1, size of lhs = 13:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V6,V9,V8), P_sep-{F}(V10,V4,V9), P_sep-{F}(V11,V7,V4), P_next-{F}(V12,V13,V11), P_next-{F}(V12,V14,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #381: exists( #19, #375 ), references = 1, size of lhs = 15:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V7,V8), P_sep-{F}(V6,V9,V8), P_sep-{F}(V10,V4,V9), P_sep-{F}(V11,V7,V4), P_lseg-{F}(V12,V13,V11), V12 == V13, P_lseg-{F}(V12,V14,V10), V12 == V14 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #382: exists( #19, #376 ), references = 1, size of lhs = 14:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V8,V9), P_sep-{F}(V7,V10,V9), P_sep-{F}(V11,V5,V10), P_sep-{F}(V12,V8,V5), P_next-{F}(V13,V14,V12), P_next-{F}(V13,V15,V11) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #386: exists( #19, #377 ), references = 1, size of lhs = 11:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V7,V4,V8), P_sep-{F}(V9,V8,V4), P_next-{F}(V10,V11,V9), P_next-{F}(V10,V12,V7) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #387: exists( #19, #378 ), references = 1, size of lhs = 13:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V7,V4,V8), P_sep-{F}(V9,V8,V4), P_lseg-{F}(V10,V11,V9), V10 == V11, P_lseg-{F}(V10,V12,V7), V10 == V12 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #390: exists( #20, #383 ), references = 1, size of lhs = 10:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(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
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #395: mergings( V3 == V9; #393 ), references = 1, size of lhs = 11:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_next-{F}(V6,V8,V7), P_sep-{F}(V7,V5,V9), P_sep-{F}(V4,V9,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #398: mergings( V3 == V10; #396 ), references = 1, size of lhs = 10:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_next-{F}(V6,V8,V7), P_sep-{F}(V7,V5,V9) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #403: mergings( V3 == V9; #401 ), references = 1, size of lhs = 12:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V8,V9), P_next-{F}(V6,V10,V11), P_sep-{F}(V11,V12,V9) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #406: mergings( V3 == V10; #404 ), references = 1, size of lhs = 10:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_next-{F}(V6,V9,V4) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #425: mergings( V3 == V9, V9 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #416 ), references = 1, size of lhs = 19:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_lseg-{F}(V3,V0,V4), P_next-{F}(V2,V3,V5), P_x4-{F}(V6), P_emp-{F}(V7), P_lseg-{F}(V2,V0,V8), P_sep-{F}(V8,V7,V9), P_sep-{F}(V4,V7,V10), P_sep-{F}(V5,V10,V11), P_sep-{F}(V12,V13,V9), P_lseg-{F}(V14,V15,V12), P_next-{F}(V14,V16,V17), V14 == V16, P_lseg-{F}(V16,V15,V18), P_sep-{F}(V18,V13,V19), P_sep-{F}(V17,V19,V11) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #428: mergings( V3 == V9, V9 == V10; #417 ), references = 1, size of lhs = 21:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V11,V9), P_next-{F}(V12,V13,V10), V12 == V13, P_lseg-{F}(V13,V14,V15), P_sep-{F}(V15,V16,V11), P_lseg-{F}(V12,V14,V17), P_sep-{F}(V17,V16,V18), P_sep-{F}(V19,V20,V18), P_next-{F}(V21,V22,V19), P_next-{F}(V21,V23,V24), P_sep-{F}(V24,V25,V20) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #431: mergings( V3 == V9, V9 == V10; #418 ), references = 1, size of lhs = 23:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_sep-{F}(V4,V8,V9), P_sep-{F}(V10,V11,V9), P_next-{F}(V12,V13,V10), V12 == V13, P_lseg-{F}(V13,V14,V15), P_sep-{F}(V15,V16,V11), P_lseg-{F}(V12,V14,V17), P_sep-{F}(V17,V16,V18), P_sep-{F}(V19,V20,V18), P_lseg-{F}(V21,V22,V19), V21 == V22, P_lseg-{F}(V21,V23,V24), V21 == V23, P_sep-{F}(V24,V25,V20) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #441: mergings( V3 == V9, V9 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #432 ), references = 1, size of lhs = 17:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), P_lseg-{F}(V3,V0,V4), P_next-{F}(V2,V3,V5), P_x4-{F}(V6), P_emp-{F}(V7), P_lseg-{F}(V2,V0,V8), P_sep-{F}(V8,V7,V9), P_sep-{F}(V4,V7,V10), P_next-{F}(V11,V12,V5), V11 == V12, P_lseg-{F}(V11,V13,V14), P_sep-{F}(V14,V15,V9), P_lseg-{F}(V12,V13,V16), P_sep-{F}(V16,V15,V10) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #444: mergings( V3 == V10, V10 == V11; #433 ), references = 1, size of lhs = 19:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_next-{F}(V9,V10,V4), V9 == V10, P_lseg-{F}(V10,V11,V12), P_sep-{F}(V12,V13,V8), P_lseg-{F}(V9,V11,V14), P_sep-{F}(V14,V13,V15), P_sep-{F}(V16,V17,V15), P_next-{F}(V18,V19,V16), P_next-{F}(V18,V20,V21), P_sep-{F}(V21,V22,V17) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #447: mergings( V3 == V10, V10 == V11; #434 ), references = 1, size of lhs = 21:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), P_x4-{F}(V3), P_next-{F}(V1,V2,V4), P_emp-{F}(V5), P_nil-{F}(V6), P_lseg-{F}(V2,V6,V7), P_sep-{F}(V7,V5,V8), P_next-{F}(V9,V10,V4), V9 == V10, P_lseg-{F}(V10,V11,V12), P_sep-{F}(V12,V13,V8), P_lseg-{F}(V9,V11,V14), P_sep-{F}(V14,V13,V15), P_sep-{F}(V16,V17,V15), P_lseg-{F}(V18,V19,V16), V18 == V19, P_lseg-{F}(V18,V20,V21), V18 == V20, P_sep-{F}(V21,V22,V17) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #455: mergings( V3 == V7, V7 == V8, V4 == V9, V5 == V10; #448 ), references = 2, size of lhs = 15:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), V2 == V3, P_lseg-{F}(V3,V0,V4), P_x4-{F}(V5), P_emp-{F}(V6), P_lseg-{F}(V2,V0,V7), P_sep-{F}(V7,V6,V8), P_sep-{F}(V4,V6,V9), P_lseg-{F}(V2,V10,V11), P_sep-{F}(V11,V12,V8), P_lseg-{F}(V3,V10,V13), P_sep-{F}(V13,V12,V9) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #458: mergings( V3 == V8, V8 == V9; #449 ), references = 1, size of lhs = 17:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_lseg-{F}(V2,V8,V9), P_sep-{F}(V9,V10,V7), P_lseg-{F}(V1,V8,V11), P_sep-{F}(V11,V10,V12), P_sep-{F}(V13,V14,V12), P_next-{F}(V15,V16,V13), P_next-{F}(V15,V17,V18), P_sep-{F}(V18,V19,V14) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #461: mergings( V3 == V8, V8 == V9; #450 ), references = 1, size of lhs = 19:
% 14.17/14.36 P_x1-{F}(V0), P_x2-{F}(V1), P_x3-{F}(V2), V1 == V2, P_x4-{F}(V3), P_emp-{F}(V4), P_nil-{F}(V5), P_lseg-{F}(V2,V5,V6), P_sep-{F}(V6,V4,V7), P_lseg-{F}(V2,V8,V9), P_sep-{F}(V9,V10,V7), P_lseg-{F}(V1,V8,V11), P_sep-{F}(V11,V10,V12), P_sep-{F}(V13,V14,V12), P_lseg-{F}(V15,V16,V13), V15 == V16, P_lseg-{F}(V15,V17,V18), V15 == V17, P_sep-{F}(V18,V19,V14) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #463: exists( #19, #455 ), references = 1, size of lhs = 13:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), V2 == V3, P_lseg-{F}(V3,V0,V4), P_x4-{F}(V5), P_emp-{F}(V6), P_lseg-{F}(V2,V0,V7), P_sep-{F}(V4,V6,V8), P_lseg-{F}(V2,V9,V7), P_lseg-{F}(V3,V9,V10), P_sep-{F}(V10,V6,V8) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #466: mergings( V5 == V9; #464 ), references = 2, size of lhs = 9:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), V2 == V3, P_x4-{F}(V4), P_emp-{F}(V5), P_lseg-{F}(V3,V0,V6), P_sep-{F}(V6,V5,V7) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #474: exists( #19, #466 ), references = 1, size of lhs = 8:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), V2 == V3, P_x4-{F}(V4), P_emp-{F}(V5), P_lseg-{F}(V3,V0,V6) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #476: exists( #20, #473 ), references = 1, size of lhs = 7:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), V2 == V3, P_x4-{F}(V4), P_emp-{F}(V5) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #478: exists( #27, #475 ), references = 1, size of lhs = 6:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), V2 == V3, P_x4-{F}(V4) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #480: exists( #26, #477 ), references = 1, size of lhs = 5:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2), P_x3-{F}(V3), V2 == V3 | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #482: exists( #25, #479 ), references = 1, size of lhs = 3:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1), P_x2-{F}(V2) | P_x3-{T}(V2)
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #487: mergings( V1 == V3, V2 == V4; #484 ), references = 1, size of lhs = 2:
% 14.17/14.36 P_nil-{F}(V0), P_x1-{F}(V1) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #490: mergings( V1 == V2; #488 ), references = 1, size of lhs = 1:
% 14.17/14.36 P_nil-{F}(V0) | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 #492: exists( #22, #488 ), references = 1, size of lhs = 0:
% 14.17/14.36 FALSE | FALSE
% 14.17/14.36 (used 0 times, uses = {})
% 14.17/14.36
% 14.17/14.36 number of learnt formulas = 81
% 14.17/14.36
% 14.17/14.36
% 14.17/14.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.17/14.36
% 14.17/14.36 randbase = 1
%------------------------------------------------------------------------------