%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 : Tue May 5 07:01:13 PM UTC 2026
% Result : Theorem 13.94s 14.13s
% Output : Refutation 13.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.06 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 5 06:14:56 EDT 2026
% 0.06/0.25 % CPUTime :
% 13.94/14.13 GeoParameters:
% 13.94/14.13
% 13.94/14.13 tptp_input = 1
% 13.94/14.13 tptp_output = 0
% 13.94/14.13 nonempty = 1
% 13.94/14.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.94/14.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.94/14.13
% 13.94/14.13
% 13.94/14.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.94/14.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.94/14.13
% 13.94/14.13 RuleSystem INPUT:
% 13.94/14.13
% 13.94/14.13 Initial Rules:
% 13.94/14.13 #0: input, references = 8, size of lhs = 3:
% 13.94/14.13 P_cons-{F}(V0,V1,V2), P_head-{F}(V2,V3), V3 == V0 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #1: input, references = 7, size of lhs = 3:
% 13.94/14.13 P_cons-{F}(V0,V1,V2), P_tail-{F}(V2,V3), V3 == V1 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #2: input, references = 3, size of lhs = 2:
% 13.94/14.13 P_nil-{F}(V3), P_cons-{F}(V1,V2,V3) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #3: input, references = 4, size of lhs = 4:
% 13.94/14.13 P_nil-{F}(V0), P_s-{F}(V1,V2), P_proj1S-{F}(V2,V3), V3 == V1 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #4: input, references = 4, size of lhs = 3:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V3), P_s-{F}(V2,V3) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #5: input, references = 4, size of lhs = 3:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), #-{F} V2 | leqNat-{T}(V1,V2)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #6: input, references = 4, size of lhs = 4:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V3), leqNat-{F}(V3,V1) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #7: input, references = 3, size of lhs = 5:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V4), P_s-{F}(V3,V5), leqNat-{F}(V4,V5) | leqNat-{T}(V2,V3)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #8: input, references = 3, size of lhs = 5:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V4), P_s-{F}(V3,V5), leqNat-{F}(V2,V3) | leqNat-{T}(V4,V5)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #9: input, references = 4, size of lhs = 4:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_merge-{F}(V0,V2,V3), V3 == V2 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #10: input, references = 5, size of lhs = 5:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V0,V5), V5 == V4 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #11: input, references = 13, size of lhs = 9:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V5,V6), P_cons-{F}(V3,V4,V7), P_merge-{F}(V6,V7,V8), P_merge-{F}(V5,V7,V9), P_cons-{F}(V2,V9,V10), V8 == V10 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #12: input, references = 13, size of lhs = 8:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V5,V6), P_cons-{F}(V3,V4,V7), P_merge-{F}(V6,V7,V8), P_merge-{F}(V6,V4,V9), P_cons-{F}(V3,V9,V10), V8 == V10 | leqNat-{T}(V2,V3)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #13: input, references = 4, size of lhs = 2:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1) | ord-{T}(V0)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #14: input, references = 3, size of lhs = 3:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V0,V3) | ord-{T}(V3)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #15: input, references = 7, size of lhs = 5:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V3,V4,V5), P_cons-{F}(V2,V5,V6), ord-{F}(V6) | pppp0-{T}(V2,V4,V3)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #16: input, references = 3, size of lhs = 5:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V3,V4,V5), P_cons-{F}(V2,V5,V6), pppp0-{F}(V2,V4,V3) | ord-{T}(V6)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #17: input, references = 7, size of lhs = 4:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V4,V3,V5), pppp0-{F}(V2,V3,V4) | leqNat-{T}(V2,V4)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #18: input, references = 3, size of lhs = 4:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V4,V3,V5), pppp0-{F}(V2,V3,V4) | ord-{T}(V5)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #19: input, references = 3, size of lhs = 5:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V4,V3,V5), leqNat-{F}(V2,V4), ord-{F}(V5) | pppp0-{T}(V2,V3,V4)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #20: input, references = 4, size of lhs = 4:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_merge-{F}(V3,V2,V4), ord-{F}(V3) | ord-{T}(V2), ord-{T}(V4)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #21: input, references = 4, size of lhs = 1:
% 13.94/14.13 #-{F} V0 | EXISTS V1: P_head-{T}(V0,V1)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #22: input, references = 12, size of lhs = 2:
% 13.94/14.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_cons-{T}(V0,V1,V2)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #23: input, references = 4, size of lhs = 1:
% 13.94/14.13 #-{F} V0 | EXISTS V1: P_tail-{T}(V0,V1)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #24: input, references = 4, size of lhs = 0:
% 13.94/14.13 FALSE | EXISTS V0: P_nil-{T}(V0)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #25: input, references = 4, size of lhs = 1:
% 13.94/14.13 #-{F} V0 | EXISTS V1: P_proj1S-{T}(V0,V1)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #26: input, references = 4, size of lhs = 1:
% 13.94/14.13 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #27: input, references = 4, size of lhs = 0:
% 13.94/14.13 FALSE | EXISTS V0: P_z-{T}(V0)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #28: input, references = 14, size of lhs = 2:
% 13.94/14.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_merge-{T}(V0,V1,V2)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 number of initial rules = 29
% 13.94/14.13
% 13.94/14.13 Simplifiers:
% 13.94/14.13 #29: unsound, references = 3, size of lhs = 3:
% 13.94/14.13 P_head-{F}(V0,V1), P_head-{F}(V0,V3), V1 == V3 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #30: unsound, references = 3, size of lhs = 3:
% 13.94/14.13 P_cons-{F}(V0,V1,V2), P_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #31: unsound, references = 3, size of lhs = 3:
% 13.94/14.13 P_tail-{F}(V0,V1), P_tail-{F}(V0,V3), V1 == V3 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #32: unsound, references = 3, size of lhs = 3:
% 13.94/14.13 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #33: unsound, references = 3, size of lhs = 3:
% 13.94/14.13 P_proj1S-{F}(V0,V1), P_proj1S-{F}(V0,V3), V1 == V3 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #34: unsound, references = 3, size of lhs = 3:
% 13.94/14.13 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #35: unsound, references = 3, size of lhs = 3:
% 13.94/14.13 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #36: unsound, references = 3, size of lhs = 3:
% 13.94/14.13 P_merge-{F}(V0,V1,V2), P_merge-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 number of simplifiers = 8
% 13.94/14.13
% 13.94/14.13 Learnt:
% 13.94/14.13 #38: exists( #21, #0 ), references = 5, size of lhs = 1:
% 13.94/14.13 P_cons-{F}(V0,V1,V2) | P_head-{T}(V2,V0)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #40: exists( #28, #10 ), references = 5, size of lhs = 3:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4) | P_merge-{T}(V4,V0,V4)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #42: exists( #23, #1 ), references = 3, size of lhs = 1:
% 13.94/14.13 P_cons-{F}(V0,V1,V2) | P_tail-{T}(V2,V1)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #44: exists( #25, #3 ), references = 1, size of lhs = 2:
% 13.94/14.13 P_nil-{F}(V0), P_s-{F}(V1,V2) | P_proj1S-{T}(V2,V1)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #46: exists( #28, #9 ), references = 7, size of lhs = 3:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), #-{F} V2 | P_merge-{T}(V0,V2,V2)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #48: exists( #22, #11 ), references = 7, size of lhs = 7:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V4,V5), P_cons-{F}(V3,V6,V7), P_merge-{F}(V5,V7,V8), P_merge-{F}(V4,V7,V9) | P_cons-{T}(V2,V9,V8)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #55: mergings( V3 == V5, V4 == V6; #52 ), references = 1, size of lhs = 10:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_cons-{F}(V2,V5,V4), P_merge-{F}(V4,V6,V7), P_cons-{F}(V8,V6,V9), P_cons-{F}(V8,V7,V10), P_cons-{F}(V8,V11,V9), P_merge-{F}(V5,V9,V12), P_cons-{F}(V2,V12,V13) | P_merge-{T}(V4,V9,V10), P_merge-{T}(V4,V9,V13)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #67: mergings( V3 == V5, V4 == V6; #62 ), references = 1, size of lhs = 12:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_head-{F}(V2,V3), P_merge-{F}(V4,V5,V2), P_cons-{F}(V6,V7,V4), V3 == V6, P_merge-{F}(V7,V5,V8), P_cons-{F}(V6,V9,V10), P_merge-{F}(V10,V11,V12), P_cons-{F}(V13,V11,V14), P_cons-{F}(V13,V12,V15), P_cons-{F}(V13,V16,V5) | P_merge-{T}(V10,V14,V15)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #70: mergings( V3 == V5, V4 == V6; #63 ), references = 1, size of lhs = 12:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_tail-{F}(V2,V3), P_merge-{F}(V4,V5,V2), P_cons-{F}(V6,V7,V4), P_merge-{F}(V7,V5,V8), V3 == V8, P_cons-{F}(V6,V9,V10), P_merge-{F}(V10,V11,V12), P_cons-{F}(V13,V11,V14), P_cons-{F}(V13,V12,V15), P_cons-{F}(V13,V16,V5) | P_merge-{T}(V10,V14,V15)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #75: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #64 ), references = 1, size of lhs = 12:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_merge-{F}(V2,V0,V3), V3 == V2, P_merge-{F}(V4,V5,V2), P_cons-{F}(V6,V7,V4), P_merge-{F}(V7,V5,V8), P_cons-{F}(V6,V9,V10), P_merge-{F}(V10,V11,V12), P_cons-{F}(V13,V11,V14), P_cons-{F}(V13,V12,V15), P_cons-{F}(V13,V16,V5) | P_merge-{T}(V10,V14,V15)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #77: exists( #28, #11 ), references = 3, size of lhs = 7:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V4,V5), P_cons-{F}(V3,V6,V7), P_merge-{F}(V4,V7,V8), P_cons-{F}(V2,V8,V9) | P_merge-{T}(V5,V7,V9)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #82: mergings( V3 == V5, V4 == V6; #79 ), references = 5, size of lhs = 7:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V1,V2,V3), P_s-{F}(V4,V5), P_cons-{F}(V5,V6,V7), P_merge-{F}(V7,V2,V8), P_cons-{F}(V1,V8,V9) | P_merge-{T}(V7,V3,V9)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #102: mergings( V12 == V15, V0 == V5, V5 == V7, V7 == V9, V1 == V6, V6 == V8, V8 == V10; #94 ), references = 3, size of lhs = 12:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_merge-{F}(V0,V3,V4), P_cons-{F}(V5,V6,V3), P_cons-{F}(V7,V8,V6), P_cons-{F}(V5,V9,V10), P_cons-{F}(V7,V11,V12), P_merge-{F}(V10,V12,V13), P_merge-{F}(V9,V12,V14), P_cons-{F}(V5,V14,V15), V13 == V15 | ord-{T}(V4)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #121: mergings( V21 == V24, V30 == V33, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #106 ), references = 1, size of lhs = 16:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_merge-{F}(V0,V3,V4), P_cons-{F}(V5,V6,V3), P_cons-{F}(V7,V8,V6), P_cons-{F}(V5,V9,V10), P_cons-{F}(V7,V11,V12), P_merge-{F}(V9,V12,V13), P_cons-{F}(V5,V13,V14), P_cons-{F}(V15,V16,V10), P_merge-{F}(V16,V12,V17), P_cons-{F}(V15,V17,V18), P_cons-{F}(V15,V19,V4), P_cons-{F}(V20,V21,V19), P_cons-{F}(V20,V22,V12) | P_merge-{T}(V10,V12,V14), P_merge-{T}(V10,V12,V18)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #135: mergings( V22 == V25, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #127 ), references = 1, size of lhs = 16:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_merge-{F}(V0,V3,V4), P_cons-{F}(V5,V6,V3), P_cons-{F}(V5,V7,V4), P_cons-{F}(V8,V9,V6), P_cons-{F}(V5,V10,V11), P_cons-{F}(V8,V12,V13), P_merge-{F}(V11,V13,V14), P_merge-{F}(V10,V13,V15), P_cons-{F}(V16,V17,V7), P_cons-{F}(V5,V18,V19), P_merge-{F}(V18,V20,V15), P_cons-{F}(V16,V21,V20), P_merge-{F}(V19,V20,V22) | P_cons-{T}(V5,V15,V14), P_cons-{T}(V5,V15,V22)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #144: mergings( V13 == V24, V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #136 ), references = 6, size of lhs = 18:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_merge-{F}(V0,V3,V4), P_cons-{F}(V5,V6,V3), P_cons-{F}(V5,V7,V4), P_cons-{F}(V8,V9,V6), P_cons-{F}(V5,V10,V11), P_cons-{F}(V8,V12,V13), P_merge-{F}(V11,V13,V14), P_merge-{F}(V10,V13,V15), P_tail-{F}(V14,V16), V16 == V15, P_cons-{F}(V17,V18,V7), P_cons-{F}(V5,V19,V20), P_merge-{F}(V19,V21,V15), P_cons-{F}(V17,V22,V21), P_merge-{F}(V20,V21,V23) | P_cons-{T}(V5,V15,V23)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #184: mergings( V3 == V5, V4 == V6; #181 ), references = 1, size of lhs = 10:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_cons-{F}(V2,V5,V4), P_merge-{F}(V4,V6,V7), P_cons-{F}(V8,V6,V9), P_cons-{F}(V8,V7,V10), P_cons-{F}(V8,V11,V9), P_merge-{F}(V5,V9,V12), P_cons-{F}(V2,V12,V13) | P_merge-{T}(V4,V9,V10), P_merge-{T}(V4,V9,V13)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #231: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #224 ), references = 1, size of lhs = 26:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_merge-{F}(V0,V3,V3), P_tail-{F}(V4,V5), P_head-{F}(V6,V7), P_merge-{F}(V8,V9,V3), P_cons-{F}(V10,V11,V8), V7 == V10, P_merge-{F}(V11,V9,V12), P_cons-{F}(V10,V13,V14), P_merge-{F}(V14,V15,V16), P_cons-{F}(V17,V15,V18), P_cons-{F}(V17,V16,V19), P_cons-{F}(V17,V20,V9), P_cons-{F}(V21,V22,V12), P_cons-{F}(V10,V23,V24), P_merge-{F}(V24,V25,V4), P_cons-{F}(V21,V26,V25), P_merge-{F}(V23,V25,V27), V5 == V27, P_cons-{F}(V28,V29,V12), P_cons-{F}(V10,V30,V31), P_merge-{F}(V30,V32,V27), P_merge-{F}(V31,V32,V6), P_cons-{F}(V28,V33,V32) | P_merge-{T}(V14,V18,V19)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #236: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #225 ), references = 1, size of lhs = 26:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_merge-{F}(V0,V3,V3), P_tail-{F}(V4,V5), P_tail-{F}(V6,V7), P_merge-{F}(V8,V9,V3), P_cons-{F}(V10,V11,V8), P_merge-{F}(V11,V9,V12), P_cons-{F}(V10,V13,V14), P_merge-{F}(V14,V15,V16), P_cons-{F}(V17,V15,V18), P_cons-{F}(V17,V16,V19), P_cons-{F}(V17,V20,V9), P_cons-{F}(V21,V22,V12), P_cons-{F}(V10,V23,V24), P_merge-{F}(V24,V25,V4), P_cons-{F}(V21,V26,V25), P_merge-{F}(V23,V25,V27), V5 == V27, V7 == V27, P_cons-{F}(V28,V29,V12), P_cons-{F}(V10,V30,V31), P_merge-{F}(V30,V32,V27), P_merge-{F}(V31,V32,V6), P_cons-{F}(V28,V33,V32) | P_merge-{T}(V14,V18,V19)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #243: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #226 ), references = 1, size of lhs = 29:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_merge-{F}(V0,V3,V3), P_tail-{F}(V4,V5), P_merge-{F}(V6,V7,V3), P_cons-{F}(V8,V9,V6), P_merge-{F}(V9,V7,V10), P_cons-{F}(V8,V11,V12), P_merge-{F}(V12,V13,V14), P_cons-{F}(V15,V13,V16), P_cons-{F}(V15,V14,V17), P_cons-{F}(V15,V18,V7), P_cons-{F}(V8,V19,V20), P_merge-{F}(V20,V21,V4), P_merge-{F}(V19,V21,V22), V5 == V22, P_cons-{F}(V8,V23,V24), P_merge-{F}(V23,V25,V22), P_merge-{F}(V24,V25,V26), P_cons-{F}(V8,V27,V28), P_merge-{F}(V27,V29,V22), P_cons-{F}(V15,V30,V29), P_merge-{F}(V28,V29,V31), V31 == V26, P_cons-{F}(V32,V33,V21), P_cons-{F}(V32,V34,V10), P_cons-{F}(V35,V36,V10), P_cons-{F}(V35,V37,V25) | P_merge-{T}(V12,V16,V17)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #282: mergings( V22 == V25, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #274 ), references = 1, size of lhs = 16:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_merge-{F}(V0,V3,V4), P_cons-{F}(V5,V6,V3), P_cons-{F}(V5,V7,V4), P_cons-{F}(V8,V9,V6), P_cons-{F}(V5,V10,V11), P_cons-{F}(V8,V12,V13), P_merge-{F}(V11,V13,V14), P_merge-{F}(V10,V13,V15), P_cons-{F}(V16,V17,V7), P_cons-{F}(V5,V18,V19), P_merge-{F}(V18,V20,V15), P_cons-{F}(V16,V21,V20), P_merge-{F}(V19,V20,V22) | P_cons-{T}(V5,V15,V14), P_cons-{T}(V5,V15,V22)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #300: mergings( V3 == V5, V0 == V6; #295 ), references = 2, size of lhs = 19:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_cons-{F}(V2,V3,V4), P_s-{F}(V5,V6), P_cons-{F}(V6,V7,V8), P_merge-{F}(V8,V3,V9), P_cons-{F}(V10,V11,V8), P_merge-{F}(V11,V4,V12), V9 == V12, P_cons-{F}(V10,V13,V8), P_merge-{F}(V13,V4,V12), P_cons-{F}(V14,V15,V4), P_cons-{F}(V14,V16,V17), P_cons-{F}(V10,V17,V18), P_merge-{F}(V0,V18,V19), P_cons-{F}(V10,V20,V19), P_cons-{F}(V21,V22,V20), P_cons-{F}(V21,V23,V4) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #303: mergings( V3 == V5, V0 == V6; #296 ), references = 2, size of lhs = 20:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V1), P_z-{F}(V2), P_cons-{F}(V2,V3,V4), P_s-{F}(V5,V6), P_cons-{F}(V6,V7,V8), P_merge-{F}(V8,V3,V9), P_cons-{F}(V10,V11,V8), V2 == V10, P_merge-{F}(V11,V4,V12), V9 == V12, P_cons-{F}(V10,V13,V8), P_merge-{F}(V13,V4,V12), P_cons-{F}(V14,V15,V4), P_cons-{F}(V14,V16,V17), P_cons-{F}(V10,V17,V18), P_merge-{F}(V0,V18,V19), P_cons-{F}(V10,V20,V19), P_cons-{F}(V21,V22,V20), P_cons-{F}(V21,V23,V4) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #317: mergings( V13 == V24, V1 == V3, V3 == V5, V5 == V7, V7 == V30, V30 == V33, V2 == V4, V4 == V6, V6 == V8, V8 == V31, V31 == V34; #304 ), references = 1, size of lhs = 31:
% 13.94/14.13 ord-{F}(V0), ord-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_merge-{F}(V1,V4,V4), P_cons-{F}(V3,V5,V6), P_s-{F}(V7,V8), P_cons-{F}(V8,V9,V10), P_merge-{F}(V10,V5,V11), P_cons-{F}(V12,V13,V10), P_merge-{F}(V13,V6,V14), V11 == V14, P_cons-{F}(V12,V15,V10), P_merge-{F}(V15,V6,V14), P_cons-{F}(V12,V16,V17), P_merge-{F}(V17,V18,V4), P_merge-{F}(V16,V18,V19), P_cons-{F}(V20,V21,V18), P_cons-{F}(V20,V22,V23), P_cons-{F}(V12,V23,V24), P_merge-{F}(V0,V24,V25), P_cons-{F}(V12,V26,V25), P_cons-{F}(V27,V28,V26), P_cons-{F}(V12,V29,V30), P_merge-{F}(V29,V31,V19), P_cons-{F}(V27,V32,V31), P_merge-{F}(V30,V31,V33), P_cons-{F}(V34,V35,V6), P_cons-{F}(V34,V36,V19), P_cons-{F}(V37,V38,V19), P_cons-{F}(V37,V39,V6) | P_cons-{T}(V12,V19,V33)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #329: mergings( V13 == V24, V1 == V3, V3 == V5, V5 == V7, V7 == V30, V30 == V33, V2 == V4, V4 == V6, V6 == V8, V8 == V31, V31 == V34; #305 ), references = 1, size of lhs = 32:
% 13.94/14.13 ord-{F}(V0), ord-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_merge-{F}(V1,V4,V4), P_cons-{F}(V3,V5,V6), P_s-{F}(V7,V8), P_cons-{F}(V8,V9,V10), P_merge-{F}(V10,V5,V11), P_cons-{F}(V12,V13,V10), V3 == V12, P_merge-{F}(V13,V6,V14), V11 == V14, P_cons-{F}(V12,V15,V10), P_merge-{F}(V15,V6,V14), P_cons-{F}(V12,V16,V17), P_merge-{F}(V17,V18,V4), P_merge-{F}(V16,V18,V19), P_cons-{F}(V20,V21,V18), P_cons-{F}(V20,V22,V23), P_cons-{F}(V12,V23,V24), P_merge-{F}(V0,V24,V25), P_cons-{F}(V12,V26,V25), P_cons-{F}(V27,V28,V26), P_cons-{F}(V12,V29,V30), P_merge-{F}(V29,V31,V19), P_cons-{F}(V27,V32,V31), P_merge-{F}(V30,V31,V33), P_cons-{F}(V34,V35,V6), P_cons-{F}(V34,V36,V19), P_cons-{F}(V37,V38,V19), P_cons-{F}(V37,V39,V6) | P_cons-{T}(V12,V19,V33)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #351: mergings( V43 == V46, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #334 ), references = 2, size of lhs = 41:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), ord-{F}(V1), P_z-{F}(V2), P_cons-{F}(V2,V3,V4), P_s-{F}(V5,V6), P_cons-{F}(V6,V7,V8), P_merge-{F}(V8,V3,V9), P_cons-{F}(V10,V11,V8), P_merge-{F}(V11,V4,V12), V9 == V12, P_cons-{F}(V10,V13,V8), P_merge-{F}(V13,V4,V12), P_cons-{F}(V10,V14,V15), P_cons-{F}(V10,V16,V15), P_cons-{F}(V17,V18,V4), P_cons-{F}(V17,V19,V20), P_merge-{F}(V14,V21,V20), P_merge-{F}(V16,V21,V20), P_cons-{F}(V22,V23,V21), P_cons-{F}(V22,V24,V25), P_cons-{F}(V10,V25,V26), P_merge-{F}(V1,V26,V27), P_cons-{F}(V10,V28,V27), P_cons-{F}(V29,V30,V28), P_cons-{F}(V29,V31,V21), P_cons-{F}(V32,V33,V20), P_cons-{F}(V32,V34,V4), P_cons-{F}(V2,V35,V36), P_s-{F}(V37,V38), P_cons-{F}(V38,V39,V40), P_merge-{F}(V40,V35,V41), P_cons-{F}(V10,V42,V40), P_merge-{F}(V42,V36,V43), V41 == V43, P_cons-{F}(V10,V44,V40), P_merge-{F}(V44,V36,V43), P_cons-{F}(V45,V46,V36), P_cons-{F}(V45,V47,V20), P_cons-{F}(V48,V49,V20), P_cons-{F}(V48,V50,V36) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #367: mergings( V43 == V46, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #335 ), references = 2, size of lhs = 42:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), ord-{F}(V1), P_z-{F}(V2), P_cons-{F}(V2,V3,V4), P_s-{F}(V5,V6), P_cons-{F}(V6,V7,V8), P_merge-{F}(V8,V3,V9), P_cons-{F}(V10,V11,V8), V2 == V10, P_merge-{F}(V11,V4,V12), V9 == V12, P_cons-{F}(V10,V13,V8), P_merge-{F}(V13,V4,V12), P_cons-{F}(V10,V14,V15), P_cons-{F}(V10,V16,V15), P_cons-{F}(V17,V18,V4), P_cons-{F}(V17,V19,V20), P_merge-{F}(V14,V21,V20), P_merge-{F}(V16,V21,V20), P_cons-{F}(V22,V23,V21), P_cons-{F}(V22,V24,V25), P_cons-{F}(V10,V25,V26), P_merge-{F}(V1,V26,V27), P_cons-{F}(V10,V28,V27), P_cons-{F}(V29,V30,V28), P_cons-{F}(V29,V31,V21), P_cons-{F}(V32,V33,V20), P_cons-{F}(V32,V34,V4), P_cons-{F}(V2,V35,V36), P_s-{F}(V37,V38), P_cons-{F}(V38,V39,V40), P_merge-{F}(V40,V35,V41), P_cons-{F}(V10,V42,V40), P_merge-{F}(V42,V36,V43), V41 == V43, P_cons-{F}(V10,V44,V40), P_merge-{F}(V44,V36,V43), P_cons-{F}(V45,V46,V36), P_cons-{F}(V45,V47,V20), P_cons-{F}(V48,V49,V20), P_cons-{F}(V48,V50,V36) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #378: mergings( V3 == V5, V4 == V6; #375 ), references = 1, size of lhs = 10:
% 13.94/14.13 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_cons-{F}(V2,V5,V4), P_merge-{F}(V4,V6,V7), P_cons-{F}(V8,V6,V9), P_cons-{F}(V8,V7,V10), P_cons-{F}(V8,V11,V9), P_merge-{F}(V5,V9,V12), P_cons-{F}(V2,V12,V13) | P_merge-{T}(V4,V9,V10), P_merge-{T}(V4,V9,V13)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #381: exists( #22, #351 ), references = 2, size of lhs = 38:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), ord-{F}(V1), P_z-{F}(V2), P_cons-{F}(V2,V3,V4), P_s-{F}(V5,V6), P_cons-{F}(V6,V7,V8), P_merge-{F}(V8,V3,V9), P_cons-{F}(V10,V11,V8), P_merge-{F}(V11,V4,V12), V9 == V12, P_cons-{F}(V10,V13,V8), P_merge-{F}(V13,V4,V12), P_cons-{F}(V14,V15,V4), P_cons-{F}(V14,V16,V17), P_cons-{F}(V18,V19,V17), P_cons-{F}(V18,V20,V4), P_cons-{F}(V2,V21,V22), P_s-{F}(V23,V24), P_cons-{F}(V24,V25,V26), P_merge-{F}(V26,V21,V27), P_cons-{F}(V10,V28,V26), P_merge-{F}(V28,V22,V29), V27 == V29, P_cons-{F}(V10,V30,V26), P_merge-{F}(V30,V22,V29), P_cons-{F}(V31,V32,V22), P_cons-{F}(V31,V33,V17), P_cons-{F}(V34,V35,V17), P_cons-{F}(V34,V36,V22), P_cons-{F}(V10,V37,V38), P_merge-{F}(V1,V38,V39), P_cons-{F}(V10,V40,V39), P_cons-{F}(V41,V42,V37), P_cons-{F}(V41,V43,V44), P_merge-{F}(V45,V44,V17), P_cons-{F}(V46,V47,V40), P_cons-{F}(V46,V48,V44) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #382: exists( #22, #367 ), references = 2, size of lhs = 39:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), ord-{F}(V1), P_z-{F}(V2), P_cons-{F}(V2,V3,V4), P_s-{F}(V5,V6), P_cons-{F}(V6,V7,V8), P_merge-{F}(V8,V3,V9), P_cons-{F}(V10,V11,V8), V2 == V10, P_merge-{F}(V11,V4,V12), V9 == V12, P_cons-{F}(V10,V13,V8), P_merge-{F}(V13,V4,V12), P_cons-{F}(V14,V15,V4), P_cons-{F}(V14,V16,V17), P_cons-{F}(V18,V19,V17), P_cons-{F}(V18,V20,V4), P_cons-{F}(V2,V21,V22), P_s-{F}(V23,V24), P_cons-{F}(V24,V25,V26), P_merge-{F}(V26,V21,V27), P_cons-{F}(V10,V28,V26), P_merge-{F}(V28,V22,V29), V27 == V29, P_cons-{F}(V10,V30,V26), P_merge-{F}(V30,V22,V29), P_cons-{F}(V31,V32,V22), P_cons-{F}(V31,V33,V17), P_cons-{F}(V34,V35,V17), P_cons-{F}(V34,V36,V22), P_cons-{F}(V10,V37,V38), P_merge-{F}(V1,V38,V39), P_cons-{F}(V10,V40,V39), P_cons-{F}(V41,V42,V37), P_cons-{F}(V41,V43,V44), P_merge-{F}(V45,V44,V17), P_cons-{F}(V46,V47,V40), P_cons-{F}(V46,V48,V44) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #394: mergings( V25 == V28, V3 == V5, V5 == V6, V4 == V0, V0 == V8; #387 ), references = 1, size of lhs = 32:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), ord-{F}(V1), P_z-{F}(V2), leqNat-{F}(V2,V3), P_cons-{F}(V2,V4,V5), P_cons-{F}(V3,V6,V7), P_merge-{F}(V4,V7,V8), P_cons-{F}(V2,V9,V10), P_cons-{F}(V2,V11,V10), P_cons-{F}(V2,V12,V10), P_cons-{F}(V2,V13,V10), P_cons-{F}(V2,V14,V10), P_cons-{F}(V2,V15,V10), P_cons-{F}(V2,V16,V10), P_merge-{F}(V17,V9,V8), P_s-{F}(V18,V19), P_cons-{F}(V19,V20,V17), P_s-{F}(V21,V22), P_cons-{F}(V22,V23,V24), P_merge-{F}(V24,V11,V25), P_cons-{F}(V26,V17,V24), P_merge-{F}(V24,V12,V27), P_s-{F}(V28,V29), P_cons-{F}(V29,V30,V24), P_cons-{F}(V31,V32,V7), P_cons-{F}(V31,V33,V34), P_cons-{F}(V26,V34,V35), P_merge-{F}(V1,V35,V36), P_cons-{F}(V26,V37,V36), P_cons-{F}(V38,V39,V37), P_cons-{F}(V38,V40,V7) | P_cons-{T}(V2,V8,V25), P_cons-{T}(V2,V8,V27)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #400: mergings( V25 == V28, V3 == V5, V5 == V6, V4 == V0, V0 == V8; #388 ), references = 1, size of lhs = 33:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), ord-{F}(V1), P_z-{F}(V2), leqNat-{F}(V2,V3), P_cons-{F}(V2,V4,V5), P_cons-{F}(V3,V6,V7), P_merge-{F}(V4,V7,V8), P_cons-{F}(V2,V9,V10), P_cons-{F}(V2,V11,V10), P_cons-{F}(V2,V12,V10), P_cons-{F}(V2,V13,V10), P_cons-{F}(V2,V14,V10), P_cons-{F}(V2,V15,V10), P_cons-{F}(V2,V16,V10), P_merge-{F}(V17,V9,V8), P_s-{F}(V18,V19), P_cons-{F}(V19,V20,V17), P_s-{F}(V21,V22), P_cons-{F}(V22,V23,V24), P_merge-{F}(V24,V11,V25), P_cons-{F}(V26,V17,V24), V2 == V26, P_merge-{F}(V24,V12,V27), P_s-{F}(V28,V29), P_cons-{F}(V29,V30,V24), P_cons-{F}(V31,V32,V7), P_cons-{F}(V31,V33,V34), P_cons-{F}(V26,V34,V35), P_merge-{F}(V1,V35,V36), P_cons-{F}(V26,V37,V36), P_cons-{F}(V38,V39,V37), P_cons-{F}(V38,V40,V7) | P_cons-{T}(V2,V8,V25), P_cons-{T}(V2,V8,V27)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #409: mergings( V28 == V31, V0 == V2, V2 == V4, V1 == V3, V3 == V6; #401 ), references = 1, size of lhs = 34:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), ord-{F}(V1), P_z-{F}(V2), leqNat-{F}(V2,V3), P_cons-{F}(V2,V4,V5), P_cons-{F}(V3,V6,V7), P_merge-{F}(V4,V7,V8), P_cons-{F}(V2,V9,V10), P_cons-{F}(V2,V11,V10), P_cons-{F}(V2,V12,V10), P_cons-{F}(V2,V13,V10), P_cons-{F}(V2,V14,V10), P_cons-{F}(V2,V15,V10), P_cons-{F}(V2,V16,V10), P_merge-{F}(V17,V9,V8), P_s-{F}(V18,V19), P_cons-{F}(V19,V20,V17), P_s-{F}(V21,V22), P_cons-{F}(V22,V23,V24), P_merge-{F}(V24,V11,V25), P_cons-{F}(V26,V17,V24), P_merge-{F}(V24,V12,V27), P_head-{F}(V25,V28), V28 == V2, P_s-{F}(V29,V30), P_cons-{F}(V30,V31,V24), P_cons-{F}(V32,V33,V7), P_cons-{F}(V32,V34,V35), P_cons-{F}(V26,V35,V36), P_merge-{F}(V1,V36,V37), P_cons-{F}(V26,V38,V37), P_cons-{F}(V39,V40,V38), P_cons-{F}(V39,V41,V7) | P_cons-{T}(V2,V8,V27)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #417: mergings( V28 == V31, V0 == V2, V2 == V4, V4 == V46, V1 == V3, V3 == V6, V6 == V48; #402 ), references = 1, size of lhs = 63:
% 13.94/14.13 ord-{F}(V0), ord-{F}(V1), P_nil-{F}(V1), ord-{F}(V2), P_z-{F}(V3), leqNat-{F}(V3,V4), P_cons-{F}(V3,V5,V6), P_cons-{F}(V4,V7,V8), P_merge-{F}(V5,V8,V9), P_cons-{F}(V3,V10,V11), P_cons-{F}(V3,V12,V11), P_cons-{F}(V3,V13,V11), P_cons-{F}(V3,V14,V11), P_cons-{F}(V3,V15,V11), P_cons-{F}(V3,V16,V11), P_cons-{F}(V3,V17,V11), P_merge-{F}(V18,V10,V9), P_s-{F}(V19,V20), P_cons-{F}(V20,V21,V18), P_s-{F}(V22,V23), P_cons-{F}(V23,V24,V25), P_merge-{F}(V25,V12,V26), P_cons-{F}(V27,V18,V25), P_merge-{F}(V25,V13,V28), P_s-{F}(V29,V30), P_cons-{F}(V30,V31,V25), P_cons-{F}(V32,V33,V8), P_cons-{F}(V32,V34,V35), P_cons-{F}(V27,V35,V36), P_merge-{F}(V0,V36,V37), P_cons-{F}(V27,V38,V37), P_cons-{F}(V39,V40,V38), P_cons-{F}(V39,V41,V8), P_cons-{F}(V3,V42,V43), P_cons-{F}(V3,V44,V43), P_cons-{F}(V3,V45,V43), P_s-{F}(V46,V47), P_cons-{F}(V47,V48,V49), P_merge-{F}(V49,V42,V50), P_cons-{F}(V51,V52,V49), P_merge-{F}(V52,V43,V53), V50 == V53, P_cons-{F}(V51,V54,V49), P_merge-{F}(V54,V43,V53), P_cons-{F}(V3,V55,V56), P_cons-{F}(V3,V57,V56), P_cons-{F}(V3,V58,V56), P_s-{F}(V59,V60), P_cons-{F}(V60,V61,V62), P_merge-{F}(V62,V55,V63), P_cons-{F}(V51,V64,V62), P_merge-{F}(V64,V56,V65), V63 == V65, P_cons-{F}(V51,V66,V62), P_merge-{F}(V66,V56,V65), P_cons-{F}(V51,V67,V68), P_merge-{F}(V2,V68,V69), P_cons-{F}(V51,V70,V69), P_cons-{F}(V71,V72,V67), P_cons-{F}(V71,V73,V74), P_merge-{F}(V75,V74,V26), P_cons-{F}(V76,V77,V70), P_cons-{F}(V76,V78,V74) | P_cons-{T}(V3,V9,V28)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #425: mergings( V28 == V31, V0 == V2, V2 == V4, V4 == V46, V1 == V3, V3 == V6, V6 == V48; #403 ), references = 1, size of lhs = 64:
% 13.94/14.13 ord-{F}(V0), ord-{F}(V1), P_nil-{F}(V1), ord-{F}(V2), P_z-{F}(V3), leqNat-{F}(V3,V4), P_cons-{F}(V3,V5,V6), P_cons-{F}(V4,V7,V8), P_merge-{F}(V5,V8,V9), P_cons-{F}(V3,V10,V11), P_cons-{F}(V3,V12,V11), P_cons-{F}(V3,V13,V11), P_cons-{F}(V3,V14,V11), P_cons-{F}(V3,V15,V11), P_cons-{F}(V3,V16,V11), P_cons-{F}(V3,V17,V11), P_merge-{F}(V18,V10,V9), P_s-{F}(V19,V20), P_cons-{F}(V20,V21,V18), P_s-{F}(V22,V23), P_cons-{F}(V23,V24,V25), P_merge-{F}(V25,V12,V26), P_cons-{F}(V27,V18,V25), P_merge-{F}(V25,V13,V28), P_s-{F}(V29,V30), P_cons-{F}(V30,V31,V25), P_cons-{F}(V32,V33,V8), P_cons-{F}(V32,V34,V35), P_cons-{F}(V27,V35,V36), P_merge-{F}(V0,V36,V37), P_cons-{F}(V27,V38,V37), P_cons-{F}(V39,V40,V38), P_cons-{F}(V39,V41,V8), P_cons-{F}(V3,V42,V43), P_cons-{F}(V3,V44,V43), P_cons-{F}(V3,V45,V43), P_s-{F}(V46,V47), P_cons-{F}(V47,V48,V49), P_merge-{F}(V49,V42,V50), P_cons-{F}(V51,V52,V49), V3 == V51, P_merge-{F}(V52,V43,V53), V50 == V53, P_cons-{F}(V51,V54,V49), P_merge-{F}(V54,V43,V53), P_cons-{F}(V3,V55,V56), P_cons-{F}(V3,V57,V56), P_cons-{F}(V3,V58,V56), P_s-{F}(V59,V60), P_cons-{F}(V60,V61,V62), P_merge-{F}(V62,V55,V63), P_cons-{F}(V51,V64,V62), P_merge-{F}(V64,V56,V65), V63 == V65, P_cons-{F}(V51,V66,V62), P_merge-{F}(V66,V56,V65), P_cons-{F}(V51,V67,V68), P_merge-{F}(V2,V68,V69), P_cons-{F}(V51,V70,V69), P_cons-{F}(V71,V72,V67), P_cons-{F}(V71,V73,V74), P_merge-{F}(V75,V74,V26), P_cons-{F}(V76,V77,V70), P_cons-{F}(V76,V78,V74) | P_cons-{T}(V3,V9,V28)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #449: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #438 ), references = 1, size of lhs = 23:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V1,V2), P_cons-{F}(V1,V0,V3), P_cons-{F}(V1,V4,V3), P_cons-{F}(V1,V5,V3), P_cons-{F}(V1,V6,V3), P_cons-{F}(V1,V7,V3), P_cons-{F}(V1,V8,V3), P_cons-{F}(V1,V9,V10), P_cons-{F}(V2,V11,V12), P_merge-{F}(V9,V12,V13), P_merge-{F}(V14,V4,V13), P_s-{F}(V15,V16), P_cons-{F}(V16,V17,V14), P_s-{F}(V18,V19), V19 == V1, P_s-{F}(V20,V19), P_cons-{F}(V21,V22,V12), P_cons-{F}(V21,V23,V14), P_cons-{F}(V24,V25,V14), P_cons-{F}(V24,V26,V12) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #460: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #439 ), references = 1, size of lhs = 47:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V1,V2), P_cons-{F}(V1,V0,V3), P_cons-{F}(V1,V4,V3), P_cons-{F}(V1,V5,V3), P_cons-{F}(V1,V6,V3), P_cons-{F}(V1,V7,V3), P_cons-{F}(V1,V8,V3), P_cons-{F}(V1,V9,V10), P_cons-{F}(V2,V11,V12), P_merge-{F}(V9,V12,V13), P_merge-{F}(V14,V4,V13), P_s-{F}(V15,V16), P_cons-{F}(V16,V17,V14), P_s-{F}(V18,V19), V19 == V1, P_s-{F}(V20,V19), P_cons-{F}(V19,V21,V14), P_cons-{F}(V19,V22,V14), P_cons-{F}(V23,V24,V12), P_cons-{F}(V23,V25,V14), P_cons-{F}(V26,V27,V14), P_cons-{F}(V26,V28,V12), P_cons-{F}(V1,V29,V30), P_cons-{F}(V1,V31,V30), P_cons-{F}(V1,V32,V30), P_s-{F}(V33,V34), P_cons-{F}(V34,V35,V36), P_merge-{F}(V36,V29,V37), P_cons-{F}(V19,V38,V36), P_merge-{F}(V38,V30,V39), V37 == V39, P_cons-{F}(V19,V40,V36), P_merge-{F}(V40,V30,V39), P_cons-{F}(V1,V41,V42), P_cons-{F}(V1,V43,V42), P_cons-{F}(V1,V44,V42), P_s-{F}(V45,V46), P_cons-{F}(V46,V47,V48), P_merge-{F}(V48,V41,V49), P_cons-{F}(V19,V50,V48), P_merge-{F}(V50,V42,V51), V49 == V51, P_cons-{F}(V19,V52,V48), P_merge-{F}(V52,V42,V51) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #471: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #440 ), references = 1, size of lhs = 47:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V1,V2), P_cons-{F}(V1,V0,V3), P_cons-{F}(V1,V4,V3), P_cons-{F}(V1,V5,V3), P_cons-{F}(V1,V6,V3), P_cons-{F}(V1,V7,V3), P_cons-{F}(V1,V8,V3), P_cons-{F}(V1,V9,V10), P_cons-{F}(V2,V11,V12), P_merge-{F}(V9,V12,V13), P_merge-{F}(V14,V4,V13), P_s-{F}(V15,V16), P_cons-{F}(V16,V17,V14), P_s-{F}(V18,V19), V1 == V19, P_s-{F}(V20,V19), P_cons-{F}(V19,V21,V14), P_cons-{F}(V19,V22,V14), P_cons-{F}(V23,V24,V12), P_cons-{F}(V23,V25,V14), P_cons-{F}(V26,V27,V14), P_cons-{F}(V26,V28,V12), P_cons-{F}(V1,V29,V30), P_cons-{F}(V1,V31,V30), P_cons-{F}(V1,V32,V30), P_s-{F}(V33,V34), P_cons-{F}(V34,V35,V36), P_merge-{F}(V36,V29,V37), P_cons-{F}(V19,V38,V36), P_merge-{F}(V38,V30,V39), V37 == V39, P_cons-{F}(V19,V40,V36), P_merge-{F}(V40,V30,V39), P_cons-{F}(V1,V41,V42), P_cons-{F}(V1,V43,V42), P_cons-{F}(V1,V44,V42), P_s-{F}(V45,V46), P_cons-{F}(V46,V47,V48), P_merge-{F}(V48,V41,V49), P_cons-{F}(V19,V50,V48), P_merge-{F}(V50,V42,V51), V49 == V51, P_cons-{F}(V19,V52,V48), P_merge-{F}(V52,V42,V51) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #484: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V9, V3 == V5, V5 == V7, V7 == V0; #474 ), references = 1, size of lhs = 16:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V1,V2), P_cons-{F}(V2,V3,V4), P_merge-{F}(V0,V4,V5), P_merge-{F}(V6,V0,V5), P_s-{F}(V7,V8), P_cons-{F}(V8,V9,V6), P_s-{F}(V10,V11), V11 == V1, P_s-{F}(V12,V11), P_cons-{F}(V13,V14,V4), P_cons-{F}(V13,V15,V6), P_cons-{F}(V16,V17,V6), P_cons-{F}(V16,V18,V4) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #497: mergings( V5 == V7, V7 == V9, V9 == V11, V11 == V12, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #487 ), references = 2, size of lhs = 8:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V1,V2), P_s-{F}(V3,V2), P_s-{F}(V4,V5), V5 == V1, P_s-{F}(V6,V5) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #501: mergings( V2 == V3; #499 ), references = 1, size of lhs = 4:
% 13.94/14.13 ord-{F}(V0), P_nil-{F}(V0), P_z-{F}(V1), #-{F} V2 | P_s-{T}(V2,V1)
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #511: mergings( V1 == V2, V2 == V3; #507 ), references = 1, size of lhs = 1:
% 13.94/14.13 P_nil-{F}(V0) | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 #514: exists( #24, #507 ), references = 1, size of lhs = 0:
% 13.94/14.13 FALSE | FALSE
% 13.94/14.13 (used 0 times, uses = {})
% 13.94/14.13
% 13.94/14.13 number of learnt formulas = 43
% 13.94/14.13
% 13.94/14.13
% 13.94/14.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.94/14.13
% 13.94/14.13 randbase = 1
%------------------------------------------------------------------------------