%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX199+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n002.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 27.74s 27.94s
% Output : Refutation 27.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX199+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.17/0.34 % Computer : n002.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 11:12:31 EDT 2026
% 0.17/0.34 % CPUTime :
% 27.74/27.94 GeoParameters:
% 27.74/27.94
% 27.74/27.94 tptp_input = 1
% 27.74/27.94 tptp_output = 0
% 27.74/27.94 nonempty = 1
% 27.74/27.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.74/27.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 27.74/27.94
% 27.74/27.94
% 27.74/27.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.74/27.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.74/27.94
% 27.74/27.94 RuleSystem INPUT:
% 27.74/27.94
% 27.74/27.94 Initial Rules:
% 27.74/27.94 #0: input, references = 7, size of lhs = 3:
% 27.74/27.94 P_cons-{F}(V0,V1,V2), P_head-{F}(V2,V3), V3 == V0 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #1: input, references = 9, size of lhs = 3:
% 27.74/27.94 P_cons-{F}(V0,V1,V2), P_tail-{F}(V2,V3), V3 == V1 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #2: input, references = 3, size of lhs = 2:
% 27.74/27.94 P_nil-{F}(V3), P_cons-{F}(V1,V2,V3) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #3: input, references = 4, size of lhs = 4:
% 27.74/27.94 P_nil-{F}(V0), P_s-{F}(V1,V2), P_proj1S-{F}(V2,V3), V3 == V1 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #4: input, references = 3, size of lhs = 3:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V3), P_s-{F}(V2,V3) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #5: input, references = 5, size of lhs = 3:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), #-{F} V2 | leqNat-{T}(V1,V2)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #6: input, references = 4, size of lhs = 4:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V3), leqNat-{F}(V3,V1) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #7: input, references = 3, size of lhs = 5:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #8: input, references = 4, size of lhs = 5:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #9: input, references = 4, size of lhs = 4:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_merge-{F}(V0,V2,V3), V3 == V2 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #10: input, references = 4, size of lhs = 5:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V0,V5), V5 == V4 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #11: input, references = 21, size of lhs = 9:
% 27.74/27.94 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
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #12: input, references = 23, size of lhs = 8:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #13: input, references = 5, size of lhs = 9:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_merge-{F}(V2,V3,V4), P_merge-{F}(V3,V2,V5), P_merge-{F}(V6,V2,V8), P_merge-{F}(V2,V6,V8), P_merge-{F}(V6,V3,V10), P_merge-{F}(V3,V6,V10), V4 == V5 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #14: input, references = 4, size of lhs = 1:
% 27.74/27.94 #-{F} V0 | EXISTS V1: P_head-{T}(V0,V1)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #15: input, references = 17, size of lhs = 2:
% 27.74/27.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_cons-{T}(V0,V1,V2)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #16: input, references = 4, size of lhs = 1:
% 27.74/27.94 #-{F} V0 | EXISTS V1: P_tail-{T}(V0,V1)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #17: input, references = 4, size of lhs = 0:
% 27.74/27.94 FALSE | EXISTS V0: P_nil-{T}(V0)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #18: input, references = 4, size of lhs = 1:
% 27.74/27.94 #-{F} V0 | EXISTS V1: P_proj1S-{T}(V0,V1)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #19: input, references = 4, size of lhs = 1:
% 27.74/27.94 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #20: input, references = 4, size of lhs = 0:
% 27.74/27.94 FALSE | EXISTS V0: P_z-{T}(V0)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #21: input, references = 26, size of lhs = 2:
% 27.74/27.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_merge-{T}(V0,V1,V2)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 number of initial rules = 22
% 27.74/27.94
% 27.74/27.94 Simplifiers:
% 27.74/27.94 #22: unsound, references = 3, size of lhs = 3:
% 27.74/27.94 P_head-{F}(V0,V1), P_head-{F}(V0,V3), V1 == V3 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #23: unsound, references = 3, size of lhs = 3:
% 27.74/27.94 P_cons-{F}(V0,V1,V2), P_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #24: unsound, references = 3, size of lhs = 3:
% 27.74/27.94 P_tail-{F}(V0,V1), P_tail-{F}(V0,V3), V1 == V3 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #25: unsound, references = 3, size of lhs = 3:
% 27.74/27.94 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #26: unsound, references = 3, size of lhs = 3:
% 27.74/27.94 P_proj1S-{F}(V0,V1), P_proj1S-{F}(V0,V3), V1 == V3 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #27: unsound, references = 3, size of lhs = 3:
% 27.74/27.94 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #28: unsound, references = 3, size of lhs = 3:
% 27.74/27.94 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #29: unsound, references = 3, size of lhs = 3:
% 27.74/27.94 P_merge-{F}(V0,V1,V2), P_merge-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 number of simplifiers = 8
% 27.74/27.94
% 27.74/27.94 Learnt:
% 27.74/27.94 #31: exists( #14, #0 ), references = 3, size of lhs = 1:
% 27.74/27.94 P_cons-{F}(V0,V1,V2) | P_head-{T}(V2,V0)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #33: exists( #21, #10 ), references = 9, size of lhs = 3:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4) | P_merge-{T}(V4,V0,V4)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #35: exists( #21, #9 ), references = 9, size of lhs = 3:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), #-{F} V2 | P_merge-{T}(V0,V2,V2)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #37: exists( #16, #1 ), references = 6, size of lhs = 1:
% 27.74/27.94 P_cons-{F}(V0,V1,V2) | P_tail-{T}(V2,V1)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #39: exists( #18, #3 ), references = 1, size of lhs = 2:
% 27.74/27.94 P_nil-{F}(V0), P_s-{F}(V1,V2) | P_proj1S-{T}(V2,V1)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #41: exists( #21, #13 ), references = 8, size of lhs = 7:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_merge-{F}(V2,V3,V4), P_merge-{F}(V5,V2,V6), P_merge-{F}(V2,V5,V6), P_merge-{F}(V5,V3,V7), P_merge-{F}(V3,V5,V7) | P_merge-{T}(V3,V2,V4)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #46: mergings( V3 == V5, V4 == V6; #43 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #51: mergings( V3 == V5, V4 == V6; #48 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #59: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #54 ), references = 1, size of lhs = 14:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V5,V6), P_cons-{F}(V7,V5,V8), P_cons-{F}(V7,V6,V9), P_cons-{F}(V2,V10,V8), P_cons-{F}(V7,V11,V4), P_merge-{F}(V10,V4,V12), P_cons-{F}(V2,V12,V13), P_merge-{F}(V14,V8,V15), P_merge-{F}(V8,V14,V15), P_merge-{F}(V14,V4,V16), P_merge-{F}(V4,V14,V16) | P_merge-{T}(V4,V8,V9), P_merge-{T}(V4,V8,V13)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #64: mergings( V3 == V5, V4 == V6; #61 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #71: mergings( V3 == V5, V4 == V6; #68 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #73: exists( #21, #11 ), references = 5, size of lhs = 7:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #78: mergings( V3 == V5, V4 == V6; #75 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #88: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #83 ), references = 1, size of lhs = 14:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V5,V6), P_cons-{F}(V7,V5,V8), P_cons-{F}(V7,V6,V9), P_cons-{F}(V2,V10,V8), P_cons-{F}(V7,V11,V4), P_merge-{F}(V10,V4,V12), P_cons-{F}(V2,V12,V13), P_merge-{F}(V14,V8,V15), P_merge-{F}(V8,V14,V15), P_merge-{F}(V14,V4,V16), P_merge-{F}(V4,V14,V16) | P_merge-{T}(V4,V8,V9), P_merge-{T}(V4,V8,V13)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #95: mergings( V3 == V5, V4 == V6; #92 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #97: exists( #15, #11 ), references = 4, size of lhs = 7:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #112: mergings( V3 == V5, V4 == V6; #109 ), references = 1, size of lhs = 10:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V5,V6), P_cons-{F}(V2,V5,V7), P_merge-{F}(V4,V7,V8), P_cons-{F}(V2,V9,V10), P_merge-{F}(V9,V11,V6), P_cons-{F}(V2,V12,V11), P_merge-{F}(V10,V11,V13) | P_cons-{T}(V2,V6,V8), P_cons-{T}(V2,V6,V13)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #116: mergings( V0 == V2, V1 == V3; #113 ), references = 1, size of lhs = 12:
% 27.74/27.94 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_cons-{F}(V6,V8,V5), P_merge-{F}(V4,V8,V9), V3 == V9, P_cons-{F}(V6,V10,V11), P_merge-{F}(V10,V12,V9), P_cons-{F}(V6,V13,V12), P_merge-{F}(V11,V12,V14) | P_cons-{T}(V6,V9,V14)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #125: mergings( V13 == V19, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #119 ), references = 1, size of lhs = 13:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_tail-{F}(V2,V3), P_tail-{F}(V4,V5), P_merge-{F}(V6,V7,V2), P_merge-{F}(V7,V6,V4), P_cons-{F}(V8,V9,V7), P_cons-{F}(V8,V10,V6), P_cons-{F}(V8,V11,V6), P_merge-{F}(V12,V9,V13), P_merge-{F}(V9,V12,V13), P_merge-{F}(V12,V6,V14), P_merge-{F}(V6,V12,V14) | P_merge-{T}(V9,V6,V3), P_merge-{T}(V9,V6,V5)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #131: mergings( V3 == V5, V4 == V6; #128 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #141: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #136 ), references = 5, size of lhs = 15:
% 27.74/27.94 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), leqNat-{F}(V9,V10), P_cons-{F}(V9,V11,V7), P_cons-{F}(V10,V12,V5), P_merge-{F}(V11,V5,V13), V8 == V13, P_merge-{F}(V14,V7,V15), P_merge-{F}(V7,V14,V15), P_merge-{F}(V14,V5,V16), P_merge-{F}(V5,V14,V16) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #147: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #142 ), references = 7, size of lhs = 13:
% 27.74/27.94 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), leqNat-{F}(V9,V10), P_cons-{F}(V9,V11,V7), P_cons-{F}(V10,V12,V5), P_merge-{F}(V13,V7,V14), P_merge-{F}(V7,V13,V14), P_merge-{F}(V13,V5,V15), P_merge-{F}(V5,V13,V15) | P_merge-{T}(V11,V5,V8)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #152: mergings( V3 == V5, V4 == V6; #149 ), references = 2, size of lhs = 12:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V5,V6), P_cons-{F}(V7,V5,V8), P_merge-{F}(V4,V8,V9), P_cons-{F}(V2,V10,V11), P_cons-{F}(V7,V12,V13), P_merge-{F}(V11,V13,V14), P_merge-{F}(V10,V13,V15), P_cons-{F}(V2,V15,V16), V14 == V16 | P_cons-{T}(V7,V6,V9)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #159: mergings( V3 == V5, V4 == V6; #155 ), references = 1, size of lhs = 13:
% 27.74/27.94 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), P_cons-{F}(V8,V9,V5), V3 == V8, P_cons-{F}(V6,V10,V11), P_cons-{F}(V8,V12,V13), P_merge-{F}(V11,V13,V14), P_merge-{F}(V10,V13,V15), P_cons-{F}(V6,V15,V16), V14 == V16 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #162: exists( #21, #160 ), references = 2, size of lhs = 12:
% 27.74/27.94 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_cons-{F}(V8,V9,V5), P_cons-{F}(V6,V10,V11), P_cons-{F}(V8,V12,V13), P_merge-{F}(V11,V13,V14), P_merge-{F}(V10,V13,V15), P_cons-{F}(V6,V15,V16), V14 == V16 | P_merge-{T}(V4,V9,V3)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #178: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #168 ), references = 1, size of lhs = 26:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V0,V3), leqNat-{F}(V2,V4), leqNat-{F}(V4,V5), P_cons-{F}(V4,V6,V3), P_merge-{F}(V0,V3,V7), P_merge-{F}(V3,V0,V7), leqNat-{F}(V4,V8), P_cons-{F}(V8,V9,V3), P_cons-{F}(V4,V10,V3), P_merge-{F}(V6,V11,V11), P_cons-{F}(V5,V12,V11), leqNat-{F}(V13,V14), P_cons-{F}(V13,V15,V3), P_cons-{F}(V14,V16,V17), P_merge-{F}(V15,V17,V18), P_merge-{F}(V11,V17,V19), P_merge-{F}(V17,V11,V19), P_cons-{F}(V20,V21,V17), P_merge-{F}(V21,V3,V22), V18 == V22, P_cons-{F}(V20,V23,V24), P_merge-{F}(V24,V25,V11), P_cons-{F}(V4,V25,V26), P_merge-{F}(V24,V26,V27) | P_cons-{T}(V4,V11,V27)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #189: mergings( V3 == V5, V4 == V6; #186 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #198: mergings( V3 == V5, V4 == V6; #194 ), references = 1, size of lhs = 15:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_cons-{F}(V2,V4,V5), P_merge-{F}(V4,V6,V7), P_cons-{F}(V8,V6,V9), P_cons-{F}(V8,V7,V10), P_cons-{F}(V2,V11,V9), P_cons-{F}(V8,V12,V9), P_cons-{F}(V8,V13,V5), P_merge-{F}(V11,V5,V14), P_merge-{F}(V15,V5,V16), P_merge-{F}(V5,V15,V16), P_merge-{F}(V15,V9,V17), P_merge-{F}(V9,V15,V17) | P_merge-{T}(V4,V9,V10), P_merge-{T}(V4,V9,V14)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #203: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #195 ), references = 1, size of lhs = 14:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V5,V6), P_cons-{F}(V7,V5,V8), P_cons-{F}(V7,V6,V9), P_cons-{F}(V2,V10,V8), P_cons-{F}(V7,V11,V4), P_merge-{F}(V10,V4,V12), P_cons-{F}(V2,V12,V13), P_merge-{F}(V14,V8,V15), P_merge-{F}(V8,V14,V15), P_merge-{F}(V14,V4,V16), P_merge-{F}(V4,V14,V16) | P_merge-{T}(V4,V8,V9), P_merge-{T}(V4,V8,V13)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #211: mergings( V3 == V5, V4 == V6; #207 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #214: mergings( V3 == V5, V4 == V6; #208 ), references = 1, size of lhs = 15:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_cons-{F}(V2,V4,V5), P_merge-{F}(V4,V6,V7), P_cons-{F}(V8,V6,V9), P_cons-{F}(V8,V7,V10), P_cons-{F}(V2,V11,V9), P_cons-{F}(V8,V12,V9), P_cons-{F}(V8,V13,V5), P_merge-{F}(V11,V5,V14), P_merge-{F}(V15,V5,V16), P_merge-{F}(V5,V15,V16), P_merge-{F}(V15,V9,V17), P_merge-{F}(V9,V15,V17) | P_merge-{T}(V4,V9,V10), P_merge-{T}(V4,V9,V14)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #219: mergings( V3 == V5, V4 == V6; #216 ), references = 1, size of lhs = 16:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_tail-{F}(V2,V3), P_merge-{F}(V4,V5,V3), P_merge-{F}(V5,V6,V2), P_cons-{F}(V7,V4,V6), P_cons-{F}(V8,V9,V5), P_cons-{F}(V8,V10,V11), P_cons-{F}(V7,V12,V13), P_merge-{F}(V11,V13,V14), P_merge-{F}(V10,V13,V15), P_merge-{F}(V16,V4,V17), P_merge-{F}(V4,V16,V18), V17 == V18, P_merge-{F}(V5,V16,V19), P_merge-{F}(V16,V5,V19) | P_cons-{T}(V8,V15,V14)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #239: mergings( V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #230 ), references = 2, size of lhs = 26:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V0,V4), P_merge-{F}(V0,V4,V5), P_merge-{F}(V4,V0,V5), P_cons-{F}(V3,V6,V7), P_cons-{F}(V8,V9,V7), P_cons-{F}(V10,V11,V7), leqNat-{F}(V12,V13), P_cons-{F}(V13,V14,V4), P_cons-{F}(V12,V15,V7), P_cons-{F}(V16,V17,V15), V8 == V16, P_merge-{F}(V17,V4,V18), P_cons-{F}(V16,V19,V20), P_merge-{F}(V21,V20,V22), P_tail-{F}(V23,V22), P_merge-{F}(V20,V24,V23), P_cons-{F}(V25,V21,V24), P_cons-{F}(V25,V26,V4), P_merge-{F}(V27,V21,V28), P_merge-{F}(V21,V27,V29), V28 == V29, P_merge-{F}(V20,V27,V30), P_merge-{F}(V27,V20,V30) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #247: mergings( V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #231 ), references = 1, size of lhs = 26:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V0,V4), P_merge-{F}(V0,V4,V5), P_merge-{F}(V4,V0,V5), P_cons-{F}(V3,V6,V7), P_cons-{F}(V8,V9,V7), P_cons-{F}(V10,V11,V7), leqNat-{F}(V12,V13), P_cons-{F}(V13,V14,V4), P_cons-{F}(V12,V15,V7), P_cons-{F}(V16,V17,V15), P_merge-{F}(V17,V4,V18), V9 == V18, P_cons-{F}(V16,V19,V20), P_merge-{F}(V21,V20,V22), P_tail-{F}(V23,V22), P_merge-{F}(V20,V24,V23), P_cons-{F}(V25,V21,V24), P_cons-{F}(V25,V26,V4), P_merge-{F}(V27,V21,V28), P_merge-{F}(V21,V27,V29), V28 == V29, P_merge-{F}(V20,V27,V30), P_merge-{F}(V27,V20,V30) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #267: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #254 ), references = 2, size of lhs = 28:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), leqNat-{F}(V3,V4), P_cons-{F}(V2,V0,V5), P_merge-{F}(V0,V5,V6), P_merge-{F}(V5,V0,V6), leqNat-{F}(V3,V7), P_cons-{F}(V7,V8,V5), P_cons-{F}(V3,V9,V10), P_cons-{F}(V4,V11,V12), P_merge-{F}(V9,V12,V13), P_merge-{F}(V14,V12,V13), P_cons-{F}(V15,V14,V10), P_cons-{F}(V15,V16,V5), P_cons-{F}(V17,V18,V13), V3 == V17, P_merge-{F}(V18,V5,V19), P_cons-{F}(V17,V20,V12), P_merge-{F}(V21,V12,V22), P_merge-{F}(V12,V21,V22), P_merge-{F}(V21,V10,V23), P_merge-{F}(V10,V21,V23), P_merge-{F}(V24,V14,V25), P_merge-{F}(V14,V24,V26), V25 == V26, P_merge-{F}(V12,V24,V27), P_merge-{F}(V24,V12,V27) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #279: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #255 ), references = 1, size of lhs = 28:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), leqNat-{F}(V3,V4), P_cons-{F}(V2,V0,V5), P_merge-{F}(V0,V5,V6), P_merge-{F}(V5,V0,V6), leqNat-{F}(V3,V7), P_cons-{F}(V7,V8,V5), P_cons-{F}(V3,V9,V10), P_cons-{F}(V4,V11,V12), P_merge-{F}(V9,V12,V13), P_merge-{F}(V14,V12,V13), P_cons-{F}(V15,V14,V10), P_cons-{F}(V15,V16,V5), P_cons-{F}(V17,V18,V13), P_merge-{F}(V18,V5,V19), V13 == V19, P_cons-{F}(V17,V20,V12), P_merge-{F}(V21,V12,V22), P_merge-{F}(V12,V21,V22), P_merge-{F}(V21,V10,V23), P_merge-{F}(V10,V21,V23), P_merge-{F}(V24,V14,V25), P_merge-{F}(V14,V24,V26), V25 == V26, P_merge-{F}(V12,V24,V27), P_merge-{F}(V24,V12,V27) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #281: exists( #15, #239 ), references = 1, size of lhs = 22:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V0,V4), P_merge-{F}(V0,V4,V5), P_merge-{F}(V4,V0,V5), leqNat-{F}(V3,V6), P_cons-{F}(V6,V7,V4), P_merge-{F}(V8,V4,V9), P_cons-{F}(V10,V8,V11), V3 == V10, P_cons-{F}(V10,V12,V13), P_merge-{F}(V14,V13,V15), P_tail-{F}(V16,V15), P_merge-{F}(V13,V17,V16), P_cons-{F}(V18,V14,V17), P_cons-{F}(V18,V19,V4), P_merge-{F}(V20,V14,V21), P_merge-{F}(V14,V20,V22), V21 == V22, P_merge-{F}(V13,V20,V23), P_merge-{F}(V20,V13,V23) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #297: mergings( V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #290 ), references = 1, size of lhs = 31:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V0,V4), P_merge-{F}(V0,V4,V5), P_merge-{F}(V4,V0,V5), leqNat-{F}(V3,V6), P_cons-{F}(V6,V7,V4), P_cons-{F}(V3,V8,V4), leqNat-{F}(V9,V10), V10 == V3, leqNat-{F}(V10,V11), P_cons-{F}(V9,V0,V12), P_merge-{F}(V0,V12,V13), P_merge-{F}(V12,V0,V13), leqNat-{F}(V10,V14), P_cons-{F}(V14,V15,V12), P_cons-{F}(V11,V16,V4), P_cons-{F}(V10,V17,V18), P_cons-{F}(V19,V17,V18), P_cons-{F}(V19,V20,V12), P_merge-{F}(V17,V12,V21), P_merge-{F}(V22,V4,V23), P_merge-{F}(V4,V22,V23), P_merge-{F}(V22,V18,V24), P_merge-{F}(V18,V22,V24), P_merge-{F}(V25,V17,V26), P_merge-{F}(V17,V25,V27), V26 == V27, P_merge-{F}(V4,V25,V28), P_merge-{F}(V25,V4,V28) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #308: mergings( V1 == V7, V7 == V9, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10; #300 ), references = 1, size of lhs = 20:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V2), leqNat-{F}(V3,V2), V3 == V2, leqNat-{F}(V4,V3), P_cons-{F}(V4,V0,V5), P_merge-{F}(V0,V5,V6), P_merge-{F}(V5,V0,V6), leqNat-{F}(V3,V7), P_cons-{F}(V7,V8,V5), P_cons-{F}(V3,V9,V10), P_cons-{F}(V11,V9,V10), P_cons-{F}(V11,V12,V5), P_merge-{F}(V9,V5,V13), P_merge-{F}(V0,V10,V14), P_merge-{F}(V10,V0,V14), P_merge-{F}(V0,V9,V15), P_merge-{F}(V9,V0,V16), V15 == V16 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #317: mergings( V1 == V7, V7 == V9, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10; #309 ), references = 1, size of lhs = 18:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V2), leqNat-{F}(V3,V2), V3 == V2, leqNat-{F}(V4,V3), P_cons-{F}(V4,V0,V5), P_merge-{F}(V0,V5,V6), P_merge-{F}(V5,V0,V6), leqNat-{F}(V3,V7), P_cons-{F}(V7,V8,V5), P_cons-{F}(V3,V9,V10), P_cons-{F}(V11,V9,V10), P_cons-{F}(V11,V12,V5), P_merge-{F}(V9,V5,V13), P_merge-{F}(V0,V10,V14), P_merge-{F}(V10,V0,V14), P_merge-{F}(V0,V9,V15) | P_merge-{T}(V9,V0,V15)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #324: mergings( V3 == V5, V4 == V6; #321 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #332: mergings( V3 == V5, V4 == V6; #328 ), references = 1, size of lhs = 10:
% 27.74/27.94 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)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #335: mergings( V3 == V5, V4 == V6; #329 ), references = 1, size of lhs = 15:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), P_cons-{F}(V2,V3,V4), P_cons-{F}(V2,V4,V5), P_merge-{F}(V4,V6,V7), P_cons-{F}(V8,V6,V9), P_cons-{F}(V8,V7,V10), P_cons-{F}(V2,V11,V9), P_cons-{F}(V8,V12,V9), P_cons-{F}(V8,V13,V5), P_merge-{F}(V11,V5,V14), P_merge-{F}(V15,V5,V16), P_merge-{F}(V5,V15,V16), P_merge-{F}(V15,V9,V17), P_merge-{F}(V9,V15,V17) | P_merge-{T}(V4,V9,V10), P_merge-{T}(V4,V9,V14)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #353: mergings( V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #346 ), references = 1, size of lhs = 13:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V0,V4), P_merge-{F}(V0,V4,V5), P_merge-{F}(V4,V0,V5), leqNat-{F}(V3,V6), P_cons-{F}(V6,V7,V4), leqNat-{F}(V8,V9), V3 == V8, P_cons-{F}(V9,V10,V4), P_cons-{F}(V8,V11,V12), P_merge-{F}(V11,V4,V13) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #359: mergings( V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #347 ), references = 1, size of lhs = 13:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), P_cons-{F}(V2,V0,V4), P_merge-{F}(V0,V4,V5), P_merge-{F}(V4,V0,V5), leqNat-{F}(V3,V6), P_cons-{F}(V6,V7,V4), leqNat-{F}(V8,V9), P_cons-{F}(V9,V10,V4), P_cons-{F}(V8,V11,V12), P_merge-{F}(V11,V4,V13), V12 == V13 | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #373: mergings( V1 == V7, V7 == V9, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10; #364 ), references = 1, size of lhs = 7:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), leqNat-{F}(V3,V4), V4 == V2, leqNat-{F}(V4,V3), P_cons-{F}(V2,V0,V5) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #382: mergings( V1 == V7, V7 == V9, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10; #374 ), references = 1, size of lhs = 6:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V3), leqNat-{F}(V3,V4), V4 == V2, leqNat-{F}(V4,V3) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #397: mergings( V2 == V4, V4 == V9, V9 == V11, V11 == V13, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14; #385 ), references = 1, size of lhs = 3:
% 27.74/27.94 P_nil-{F}(V0), P_z-{F}(V1), leqNat-{F}(V2,V2) | P_s-{T}(V2,V1)
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #410: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #402 ), references = 1, size of lhs = 1:
% 27.74/27.94 P_nil-{F}(V0) | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 #413: exists( #17, #402 ), references = 1, size of lhs = 0:
% 27.74/27.94 FALSE | FALSE
% 27.74/27.94 (used 0 times, uses = {})
% 27.74/27.94
% 27.74/27.94 number of learnt formulas = 50
% 27.74/27.94
% 27.74/27.94
% 27.74/27.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.74/27.94
% 27.74/27.94 randbase = 1
%------------------------------------------------------------------------------