TSTP Solution File: SYO745+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYO745+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:26:40 EDT 2022
% Result : Unsatisfiable 20.89s 21.06s
% Output : Refutation 20.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO745+1 : TPTP v8.1.0. Released v7.4.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 : Sat Jul 23 01:15:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 20.89/21.06 GeoParameters:
% 20.89/21.06
% 20.89/21.06 tptp_input = 1
% 20.89/21.06 tptp_output = 0
% 20.89/21.06 nonempty = 1
% 20.89/21.06 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.89/21.06 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 20.89/21.06
% 20.89/21.06
% 20.89/21.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.89/21.06 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.89/21.06
% 20.89/21.06 RuleSystem INPUT:
% 20.89/21.06
% 20.89/21.06 Initial Rules:
% 20.89/21.06 #0: input, references = 4, size of lhs = 0:
% 20.89/21.06 FALSE | EXISTS V0: pppp0-{T}(V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #1: input, references = 6, size of lhs = 3:
% 20.89/21.06 pppp0-{F}(V0), #-{F} V2, f-{F}(V0,V1) | f-{T}(V2,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #2: input, references = 3, size of lhs = 1:
% 20.89/21.06 pppp0-{F}(V0) | f-{T}(V0,V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #3: input, references = 4, size of lhs = 0:
% 20.89/21.06 FALSE | EXISTS V0: pppp1-{T}(V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #4: input, references = 7, size of lhs = 2:
% 20.89/21.06 pppp1-{F}(V0), f-{F}(V1,V0) | f-{T}(V1,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #5: input, references = 5, size of lhs = 1:
% 20.89/21.06 #-{F} V0 | EXISTS V1: pppp3-{T}(V1,V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #6: input, references = 4, size of lhs = 1:
% 20.89/21.06 pppp3-{F}(V0,V1) | f-{T}(V0,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #7: input, references = 4, size of lhs = 1:
% 20.89/21.06 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #8: input, references = 3, size of lhs = 2:
% 20.89/21.06 pppp2-{F}(V0,V1), f-{F}(V0,V1) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #9: input, references = 13, size of lhs = 2:
% 20.89/21.06 f-{F}(V1,V0), f-{F}(V0,V2) | f-{T}(V1,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #10: input, references = 7, size of lhs = 2:
% 20.89/21.06 #-{F} V1, f-{F}(V2,V0) | f-{T}(V1,V0), f-{T}(V2,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #11: input, references = 9, size of lhs = 1:
% 20.89/21.06 #-{F} V0 | pppp8-{T}(V0), f-{T}(V0,V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #12: input, references = 11, size of lhs = 1:
% 20.89/21.06 pppp8-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #13: input, references = 6, size of lhs = 2:
% 20.89/21.06 pppp6-{F}(V0,V1), f-{F}(V0,V1) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #14: input, references = 17, size of lhs = 1:
% 20.89/21.06 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #15: input, references = 20, size of lhs = 1:
% 20.89/21.06 pppp5-{F}(V0,V1) | f-{T}(V0,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #16: input, references = 4, size of lhs = 1:
% 20.89/21.06 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V1,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #17: input, references = 4, size of lhs = 2:
% 20.89/21.06 pppp4-{F}(V0,V1), f-{F}(V1,V0) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #18: input, references = 7, size of lhs = 2:
% 20.89/21.06 #-{F} V2, f-{F}(V0,V1) | f-{T}(V2,V1), pppp9-{T}(V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #19: input, references = 9, size of lhs = 1:
% 20.89/21.06 pppp9-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #20: input, references = 10, size of lhs = 1:
% 20.89/21.06 pppp7-{F}(V0,V1) | f-{T}(V1,V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #21: input, references = 7, size of lhs = 2:
% 20.89/21.06 pppp7-{F}(V0,V1), f-{F}(V0,V0) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #22: input, references = 6, size of lhs = 4:
% 20.89/21.06 f-{F}(V2,V0), f-{F}(V1,V2), f-{F}(V3,V1), f-{F}(V0,V4) | f-{T}(V3,V3), f-{T}(V4,V4), f-{T}(V0,V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #23: input, references = 4, size of lhs = 3:
% 20.89/21.06 f-{F}(V0,V1), f-{F}(V2,V0), f-{F}(V0,V0) | f-{T}(V1,V1), f-{T}(V2,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 number of initial rules = 24
% 20.89/21.06
% 20.89/21.06 Simplifiers:
% 20.89/21.06 #24: unsound, references = 3, size of lhs = 3:
% 20.89/21.06 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #25: unsound, references = 3, size of lhs = 3:
% 20.89/21.06 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #26: unsound, references = 3, size of lhs = 3:
% 20.89/21.06 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #27: unsound, references = 3, size of lhs = 3:
% 20.89/21.06 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #28: unsound, references = 3, size of lhs = 3:
% 20.89/21.06 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #29: unsound, references = 3, size of lhs = 3:
% 20.89/21.06 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #30: unsound, references = 3, size of lhs = 3:
% 20.89/21.06 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #31: unsound, references = 3, size of lhs = 3:
% 20.89/21.06 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 number of simplifiers = 8
% 20.89/21.06
% 20.89/21.06 Learnt:
% 20.89/21.06 #33: disj( #18, input ), references = 1, size of lhs = 2:
% 20.89/21.06 f-{F}(V0,V1), pppp2-{F}(V2,V1) | pppp9-{T}(V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #37: exists( #19, #35 ), references = 1, size of lhs = 4:
% 20.89/21.06 pppp9-{F}(V0), pppp0-{F}(V1), f-{F}(V1,V2), pppp1-{F}(V2) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #44: mergings( V3 == V5, V4 == V6; #41 ), references = 1, size of lhs = 4:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V0,V1), pppp1-{F}(V1), pppp3-{F}(V2,V3) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #48: mergings( V2 == V4, V3 == V5; #45 ), references = 1, size of lhs = 3:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V0,V1), pppp1-{F}(V1) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #52: disj( #18, input ), references = 1, size of lhs = 2:
% 20.89/21.06 f-{F}(V0,V1), pppp6-{F}(V2,V1) | pppp9-{T}(V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #54: disj( #10, input ), references = 1, size of lhs = 2:
% 20.89/21.06 f-{F}(V0,V1), pppp2-{F}(V0,V2) | f-{T}(V2,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #58: disj( #18, mergings( V2 == V4, V3 == V5; #45 ) ), references = 2, size of lhs = 3:
% 20.89/21.06 pppp0-{F}(V0), pppp1-{F}(V1), f-{F}(V2,V1) | pppp9-{T}(V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #83: disj( #11, input ), references = 3, size of lhs = 1:
% 20.89/21.06 pppp7-{F}(V0,V1) | pppp8-{T}(V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #91: disj( #10, #4+#21 ), references = 1, size of lhs = 3:
% 20.89/21.06 pppp1-{F}(V0), f-{F}(V1,V0), pppp7-{F}(V2,V3) | f-{T}(V1,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #92: disj( #10, #4+#13 ), references = 1, size of lhs = 3:
% 20.89/21.06 pppp1-{F}(V0), f-{F}(V1,V0), pppp6-{F}(V2,V2) | f-{T}(V1,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #98: exists( #16, #96 ), references = 2, size of lhs = 3:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V0,V1), pppp5-{F}(V2,V1) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #101: exists( #14, #99 ), references = 1, size of lhs = 2:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V0,V1) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #117: disj( #18, exists( #16, #96 ) ), references = 12, size of lhs = 3:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp5-{F}(V3,V2) | pppp9-{T}(V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #118: disj( #18, input ), references = 1, size of lhs = 2:
% 20.89/21.06 f-{F}(V0,V1), pppp4-{F}(V1,V2) | pppp9-{T}(V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #131: disj( #23, input ), references = 1, size of lhs = 4:
% 20.89/21.06 f-{F}(V0,V0), f-{F}(V0,V1), f-{F}(V2,V0), pppp7-{F}(V1,V3) | f-{T}(V2,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #132: disj( #23, input ), references = 1, size of lhs = 4:
% 20.89/21.06 f-{F}(V0,V0), f-{F}(V0,V1), pppp6-{F}(V1,V1), f-{F}(V2,V0) | f-{T}(V2,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #139: exists( #19, #135 ), references = 2, size of lhs = 4:
% 20.89/21.06 pppp9-{F}(V0), f-{F}(V0,V0), pppp6-{F}(V1,V1), f-{F}(V1,V0) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #140: exists( #19, #136 ), references = 4, size of lhs = 4:
% 20.89/21.06 pppp9-{F}(V0), f-{F}(V0,V0), f-{F}(V1,V0), pppp7-{F}(V1,V2) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #145: disj( #11, #117+#137 ), references = 3, size of lhs = 4:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), pppp5-{F}(V3,V2) | pppp8-{T}(V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #146: disj( #11, #117+#138 ), references = 7, size of lhs = 4:
% 20.89/21.06 pppp0-{F}(V0), pppp5-{F}(V1,V2), f-{F}(V3,V2), pppp7-{F}(V3,V4) | pppp8-{T}(V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #163: disj( #10, input ), references = 14, size of lhs = 2:
% 20.89/21.06 f-{F}(V0,V1), pppp6-{F}(V0,V2) | f-{T}(V2,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #164: disj( #10, input ), references = 1, size of lhs = 2:
% 20.89/21.06 pppp4-{F}(V0,V1), f-{F}(V1,V2) | f-{T}(V0,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #233: disj( #22, input, input ), references = 1, size of lhs = 6:
% 20.89/21.06 pppp6-{F}(V0,V0), f-{F}(V0,V1), f-{F}(V1,V2), f-{F}(V2,V3), f-{F}(V3,V4), pppp6-{F}(V4,V4) | f-{T}(V3,V3)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #234: disj( #22, input, input ), references = 1, size of lhs = 6:
% 20.89/21.06 pppp6-{F}(V0,V0), f-{F}(V1,V0), f-{F}(V2,V1), f-{F}(V3,V2), f-{F}(V4,V3), pppp7-{F}(V4,V5) | f-{T}(V1,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #241: disj( #22, input, input ), references = 4, size of lhs = 6:
% 20.89/21.06 pppp6-{F}(V0,V0), f-{F}(V0,V1), f-{F}(V1,V2), f-{F}(V2,V3), f-{F}(V3,V4), pppp7-{F}(V4,V5) | f-{T}(V3,V3)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #242: disj( #22, input, input ), references = 1, size of lhs = 6:
% 20.89/21.06 f-{F}(V0,V1), f-{F}(V1,V2), f-{F}(V2,V3), f-{F}(V3,V4), pppp7-{F}(V0,V5), pppp7-{F}(V4,V6) | f-{T}(V3,V3)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #264: exists( #19, #258 ), references = 1, size of lhs = 6:
% 20.89/21.06 pppp9-{F}(V0), pppp6-{F}(V0,V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), f-{F}(V2,V3), f-{F}(V3,V0) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #265: exists( #19, #259 ), references = 1, size of lhs = 7:
% 20.89/21.06 pppp6-{F}(V0,V0), f-{F}(V0,V1), f-{F}(V1,V2), f-{F}(V2,V3), pppp9-{F}(V3), pppp6-{F}(V4,V4), f-{F}(V4,V3) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #266: exists( #19, #260 ), references = 1, size of lhs = 7:
% 20.89/21.06 pppp6-{F}(V0,V0), f-{F}(V0,V1), f-{F}(V1,V2), f-{F}(V2,V3), pppp9-{F}(V3), f-{F}(V4,V3), pppp7-{F}(V4,V5) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #276: exists( #14, #270 ), references = 1, size of lhs = 7:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), f-{F}(V2,V3), f-{F}(V3,V4), pppp6-{F}(V4,V4), pppp6-{F}(V4,V5) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #277: exists( #14, #271 ), references = 2, size of lhs = 8:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), f-{F}(V2,V3), f-{F}(V3,V4), pppp6-{F}(V4,V5), pppp6-{F}(V6,V6), f-{F}(V6,V4) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #278: exists( #14, #272 ), references = 3, size of lhs = 8:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), f-{F}(V2,V3), f-{F}(V3,V4), pppp6-{F}(V4,V5), f-{F}(V6,V4), pppp7-{F}(V6,V7) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #288: disj( #11, #163+#278 ), references = 1, size of lhs = 7:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), f-{F}(V2,V3), pppp6-{F}(V4,V3), pppp6-{F}(V4,V5), pppp7-{F}(V3,V6) | pppp8-{T}(V4)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #301: disj( #10, input ), references = 8, size of lhs = 2:
% 20.89/21.06 f-{F}(V0,V1), pppp6-{F}(V2,V1) | f-{T}(V0,V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #306: exists( #12, #302 ), references = 1, size of lhs = 7:
% 20.89/21.06 pppp8-{F}(V0), pppp0-{F}(V1), pppp6-{F}(V2,V2), f-{F}(V2,V3), f-{F}(V3,V4), pppp6-{F}(V4,V4), f-{F}(V4,V0) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #307: exists( #12, #303 ), references = 2, size of lhs = 7:
% 20.89/21.06 pppp8-{F}(V0), pppp0-{F}(V1), pppp6-{F}(V2,V2), f-{F}(V2,V3), f-{F}(V3,V4), f-{F}(V4,V0), pppp7-{F}(V4,V5) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #315: mergings( V3 == V4; #312 ), references = 1, size of lhs = 6:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), f-{F}(V2,V3), pppp6-{F}(V3,V3), pppp6-{F}(V3,V4) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #333: mergings( V3 == V7; #331 ), references = 1, size of lhs = 10:
% 20.89/21.06 pppp6-{F}(V0,V0), f-{F}(V0,V1), f-{F}(V1,V2), pppp6-{F}(V2,V3), pppp6-{F}(V2,V4), pppp0-{F}(V5), pppp6-{F}(V6,V6), f-{F}(V6,V7), f-{F}(V7,V4), pppp7-{F}(V4,V8) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #338: mergings( V2 == V6; #336 ), references = 2, size of lhs = 10:
% 20.89/21.06 pppp8-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), pppp6-{F}(V3,V2), f-{F}(V3,V0), pppp0-{F}(V4), pppp6-{F}(V5,V5), f-{F}(V5,V6), f-{F}(V6,V0), pppp7-{F}(V0,V7) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #345: exists( #19, #343 ), references = 1, size of lhs = 7:
% 20.89/21.06 pppp9-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V2), pppp6-{F}(V0,V2), pppp0-{F}(V3), pppp6-{F}(V4,V4), f-{F}(V4,V0) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #350: mergings( V3 == V6; #348 ), references = 2, size of lhs = 7:
% 20.89/21.06 pppp6-{F}(V0,V0), f-{F}(V0,V1), pppp0-{F}(V2), pppp6-{F}(V3,V3), f-{F}(V3,V4), pppp6-{F}(V4,V1), pppp6-{F}(V4,V5) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #354: exists( #12, #352 ), references = 1, size of lhs = 6:
% 20.89/21.06 pppp8-{F}(V0), pppp6-{F}(V1,V1), f-{F}(V1,V0), pppp0-{F}(V2), pppp6-{F}(V3,V3), f-{F}(V3,V0) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #359: mergings( V3 == V4; #357 ), references = 1, size of lhs = 3:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V1,V1), pppp6-{F}(V1,V2) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #415: disj( #22, input, exists( #19, #136 ) ), references = 2, size of lhs = 8:
% 20.89/21.06 pppp9-{F}(V0), f-{F}(V0,V1), f-{F}(V2,V0), pppp7-{F}(V2,V3), f-{F}(V4,V0), f-{F}(V5,V4), f-{F}(V6,V5), pppp7-{F}(V6,V7) | f-{T}(V1,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #416: disj( #22, exists( #19, #136 ), exists( #19, #136 ) ), references = 1, size of lhs = 9:
% 20.89/21.06 pppp9-{F}(V0), f-{F}(V0,V1), f-{F}(V1,V2), f-{F}(V2,V3), pppp9-{F}(V3), f-{F}(V3,V4), pppp7-{F}(V0,V5), f-{F}(V6,V3), pppp7-{F}(V6,V7) | f-{T}(V4,V4)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #417: disj( #22, input, input ), references = 1, size of lhs = 6:
% 20.89/21.06 f-{F}(V0,V1), f-{F}(V1,V2), f-{F}(V2,V3), f-{F}(V3,V4), pppp7-{F}(V0,V5), pppp7-{F}(V3,V6) | f-{T}(V4,V4)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #427: mergings( V3 == V4; #425 ), references = 1, size of lhs = 12:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp7-{F}(V1,V3), pppp6-{F}(V4,V2), pppp6-{F}(V5,V4), pppp6-{F}(V5,V6), f-{F}(V7,V5), pppp7-{F}(V7,V8), f-{F}(V9,V5), f-{F}(V10,V9), f-{F}(V11,V10), pppp7-{F}(V11,V12) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #465: mergings( V3 == V4; #463 ), references = 1, size of lhs = 12:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp6-{F}(V2,V3), pppp6-{F}(V1,V4), f-{F}(V5,V4), pppp7-{F}(V5,V6), f-{F}(V7,V2), pppp7-{F}(V7,V8), f-{F}(V9,V2), f-{F}(V10,V9), f-{F}(V11,V10), pppp7-{F}(V11,V12) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #471: mergings( V2 == V3; #469 ), references = 1, size of lhs = 12:
% 20.89/21.06 pppp8-{F}(V0), pppp0-{F}(V1), f-{F}(V2,V0), pppp6-{F}(V2,V3), f-{F}(V4,V3), pppp6-{F}(V2,V5), f-{F}(V6,V5), pppp7-{F}(V6,V7), pppp7-{F}(V4,V8), f-{F}(V9,V2), f-{F}(V10,V9), pppp7-{F}(V10,V11) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #478: mergings( V3 == V4, V4 == V5; #475 ), references = 3, size of lhs = 13:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp6-{F}(V2,V3), pppp7-{F}(V1,V4), pppp6-{F}(V2,V5), f-{F}(V6,V5), pppp6-{F}(V2,V7), f-{F}(V8,V7), pppp7-{F}(V8,V9), pppp7-{F}(V6,V10), f-{F}(V11,V2), f-{F}(V12,V11), pppp7-{F}(V12,V13) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #495: exists( #12, #493 ), references = 3, size of lhs = 10:
% 20.89/21.06 pppp8-{F}(V0), pppp0-{F}(V1), f-{F}(V2,V0), f-{F}(V3,V0), pppp7-{F}(V3,V4), pppp7-{F}(V2,V5), f-{F}(V6,V0), pppp7-{F}(V6,V7), f-{F}(V8,V6), pppp7-{F}(V8,V9) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #501: mergings( V3 == V4; #499 ), references = 1, size of lhs = 9:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp6-{F}(V2,V3), pppp6-{F}(V2,V4), pppp7-{F}(V4,V5), pppp7-{F}(V4,V6), pppp7-{F}(V4,V7), pppp7-{F}(V2,V8), pppp7-{F}(V1,V9) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #532: mergings( V3 == V4; #530 ), references = 1, size of lhs = 9:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp6-{F}(V2,V3), pppp7-{F}(V1,V4), pppp7-{F}(V1,V5), pppp7-{F}(V1,V6), pppp7-{F}(V2,V7), f-{F}(V8,V2), pppp7-{F}(V8,V9) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #551: disj( #11, mergings( V3 == V4; #463 ) ), references = 1, size of lhs = 9:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp7-{F}(V1,V3), pppp6-{F}(V4,V2), pppp6-{F}(V4,V5), f-{F}(V6,V4), pppp7-{F}(V6,V7), f-{F}(V8,V4), pppp7-{F}(V8,V9) | pppp8-{T}(V4)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #552: disj( #11, mergings( V3 == V4, V4 == V5; #475 ) ), references = 1, size of lhs = 12:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp6-{F}(V2,V3), pppp7-{F}(V1,V4), pppp6-{F}(V2,V5), f-{F}(V6,V5), pppp6-{F}(V2,V7), f-{F}(V8,V7), pppp7-{F}(V8,V9), pppp7-{F}(V6,V10), f-{F}(V11,V2), pppp7-{F}(V11,V12) | pppp8-{T}(V2)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #592: exists( #12, #590 ), references = 2, size of lhs = 11:
% 20.89/21.06 pppp8-{F}(V0), pppp0-{F}(V1), f-{F}(V2,V0), f-{F}(V3,V0), pppp7-{F}(V3,V4), pppp7-{F}(V2,V5), f-{F}(V6,V0), pppp6-{F}(V6,V7), pppp7-{F}(V7,V8), f-{F}(V9,V6), pppp7-{F}(V9,V10) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #599: mergings( V3 == V4; #597 ), references = 1, size of lhs = 11:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp6-{F}(V2,V3), pppp6-{F}(V2,V4), pppp7-{F}(V4,V5), pppp6-{F}(V4,V6), pppp7-{F}(V6,V7), pppp7-{F}(V6,V8), pppp6-{F}(V2,V9), pppp7-{F}(V9,V10), pppp7-{F}(V1,V11) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #627: mergings( V3 == V4; #624 ), references = 2, size of lhs = 10:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp7-{F}(V2,V3), pppp7-{F}(V1,V4), pppp6-{F}(V5,V2), pppp6-{F}(V5,V6), f-{F}(V7,V5), pppp7-{F}(V7,V8), pppp7-{F}(V7,V9), pppp7-{F}(V7,V10) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #629: mergings( V3 == V4; #625 ), references = 2, size of lhs = 10:
% 20.89/21.06 pppp0-{F}(V0), f-{F}(V1,V2), pppp6-{F}(V2,V3), pppp7-{F}(V1,V4), pppp7-{F}(V1,V5), pppp7-{F}(V1,V6), pppp6-{F}(V2,V7), pppp7-{F}(V7,V8), f-{F}(V9,V2), pppp7-{F}(V9,V10) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #654: exists( #12, #651 ), references = 1, size of lhs = 8:
% 20.89/21.06 pppp8-{F}(V0), pppp0-{F}(V1), f-{F}(V2,V0), pppp7-{F}(V2,V3), pppp7-{F}(V2,V4), pppp7-{F}(V2,V5), pppp7-{F}(V0,V6), pppp7-{F}(V2,V7) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #655: exists( #12, #650 ), references = 1, size of lhs = 9:
% 20.89/21.06 pppp8-{F}(V0), pppp0-{F}(V1), f-{F}(V2,V0), f-{F}(V3,V0), pppp7-{F}(V0,V4), pppp7-{F}(V3,V5), pppp7-{F}(V2,V6), pppp7-{F}(V2,V7), pppp7-{F}(V2,V8) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #664: exists( #19, #660 ), references = 1, size of lhs = 7:
% 20.89/21.06 pppp9-{F}(V0), pppp0-{F}(V1), pppp6-{F}(V0,V2), pppp7-{F}(V2,V3), pppp7-{F}(V2,V4), pppp7-{F}(V2,V5), pppp7-{F}(V2,V6) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #672: mergings( V3 == V4; #669 ), references = 1, size of lhs = 7:
% 20.89/21.06 pppp0-{F}(V0), pppp6-{F}(V1,V2), pppp6-{F}(V1,V3), pppp7-{F}(V3,V4), pppp7-{F}(V3,V5), pppp7-{F}(V3,V6), pppp7-{F}(V3,V7) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #676: mergings( V2 == V3; #673 ), references = 1, size of lhs = 6:
% 20.89/21.06 pppp8-{F}(V0), pppp0-{F}(V1), pppp7-{F}(V0,V2), pppp7-{F}(V0,V3), pppp7-{F}(V0,V4), pppp7-{F}(V0,V5) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #680: mergings( V1 == V2; #677 ), references = 1, size of lhs = 5:
% 20.89/21.06 pppp0-{F}(V0), pppp7-{F}(V1,V2), pppp7-{F}(V1,V3), pppp7-{F}(V1,V4), pppp7-{F}(V1,V5) | f-{T}(V1,V1)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #684: mergings( V2 == V3; #682 ), references = 2, size of lhs = 2:
% 20.89/21.06 pppp9-{F}(V0), pppp0-{F}(V1) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #689: mergings( V1 == V2, V2 == V3; #686 ), references = 1, size of lhs = 2:
% 20.89/21.06 pppp1-{F}(V0), pppp0-{F}(V1) | pppp8-{T}(V0)
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #694: mergings( V2 == V3; #692 ), references = 1, size of lhs = 2:
% 20.89/21.06 pppp1-{F}(V0), pppp0-{F}(V1) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #697: mergings( V1 == V2; #695 ), references = 1, size of lhs = 1:
% 20.89/21.06 pppp0-{F}(V0) | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 #699: exists( #0, #695 ), references = 1, size of lhs = 0:
% 20.89/21.06 FALSE | FALSE
% 20.89/21.06 (used 0 times, uses = {})
% 20.89/21.06
% 20.89/21.06 number of learnt formulas = 70
% 20.89/21.06
% 20.89/21.06
% 20.89/21.06 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.89/21.06
% 20.89/21.06 randbase = 1
%------------------------------------------------------------------------------