TSTP Solution File: LCL658+1.001 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL658+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:09:41 EDT 2022
% Result : Theorem 1.37s 1.59s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL658+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 21:35:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.37/1.59 GeoParameters:
% 1.37/1.59
% 1.37/1.59 tptp_input = 1
% 1.37/1.59 tptp_output = 0
% 1.37/1.59 nonempty = 1
% 1.37/1.59 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.59 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.37/1.59
% 1.37/1.59
% 1.37/1.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.59
% 1.37/1.59 RuleSystem INPUT:
% 1.37/1.59
% 1.37/1.59 Initial Rules:
% 1.37/1.59 #0: input, references = 9, size of lhs = 1:
% 1.37/1.59 #-{F} V0 | r1-{T}(V0,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #1: input, references = 4, size of lhs = 0:
% 1.37/1.59 FALSE | EXISTS V0: pppp18-{T}(V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #2: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp18-{F}(V0) | pppp17-{T}(V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #3: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp17-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #4: input, references = 6, size of lhs = 4:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | p1-{T}(V3), pppp19-{T}(V3), pppp20-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #5: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp19-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #6: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp20-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #7: input, references = 8, size of lhs = 5:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | p1-{T}(V4), pppp21-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #8: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp21-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #9: input, references = 6, size of lhs = 3:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V1), pppp22-{T}(V2), pppp23-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #10: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp22-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #11: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp23-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #12: input, references = 5, size of lhs = 5:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p1-{F}(V1), r1-{F}(V1,V3) | p1-{T}(V2), pppp24-{T}(V3), pppp25-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #13: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp24-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #14: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp25-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #15: input, references = 7, size of lhs = 2:
% 1.37/1.59 pppp16-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2), pppp26-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #16: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp26-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #17: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp16-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #18: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp16-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #19: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp16-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #20: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp15-{F}(V0,V1) | p1-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #21: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp15-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #22: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp15-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #23: input, references = 5, size of lhs = 2:
% 1.37/1.59 pppp14-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #24: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp14-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #25: input, references = 9, size of lhs = 2:
% 1.37/1.59 pppp13-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #26: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #27: input, references = 4, size of lhs = 2:
% 1.37/1.59 pppp12-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #28: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp12-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #29: input, references = 6, size of lhs = 4:
% 1.37/1.59 pppp11-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #30: input, references = 4, size of lhs = 2:
% 1.37/1.59 pppp11-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #31: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #32: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp10-{F}(V0,V1) | p1-{T}(V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #33: input, references = 7, size of lhs = 1:
% 1.37/1.59 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #34: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp10-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #35: input, references = 7, size of lhs = 2:
% 1.37/1.59 pppp9-{F}(V0,V1), p1-{F}(V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #36: input, references = 7, size of lhs = 1:
% 1.37/1.59 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #37: input, references = 4, size of lhs = 2:
% 1.37/1.59 pppp8-{F}(V0,V1), p1-{F}(V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #38: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #39: input, references = 4, size of lhs = 4:
% 1.37/1.59 pppp7-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #40: input, references = 3, size of lhs = 2:
% 1.37/1.59 pppp7-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #41: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #42: input, references = 3, size of lhs = 2:
% 1.37/1.59 pppp6-{F}(V0,V1), p1-{F}(V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #43: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #44: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp5-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #45: input, references = 6, size of lhs = 5:
% 1.37/1.59 pppp4-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p1-{F}(V3) | p1-{T}(V4), p1-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #46: input, references = 4, size of lhs = 5:
% 1.37/1.59 pppp4-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p1-{F}(V3) | p1-{T}(V4), pppp27-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #47: input, references = 3, size of lhs = 1:
% 1.37/1.59 pppp27-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #48: input, references = 3, size of lhs = 1:
% 1.37/1.59 pppp4-{F}(V0,V1) | p1-{T}(V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #49: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp4-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #50: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #51: input, references = 3, size of lhs = 2:
% 1.37/1.59 pppp3-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #52: input, references = 3, size of lhs = 1:
% 1.37/1.59 pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #53: input, references = 5, size of lhs = 2:
% 1.37/1.59 pppp2-{F}(V0,V1), p1-{F}(V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #54: input, references = 6, size of lhs = 1:
% 1.37/1.59 pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #55: input, references = 3, size of lhs = 1:
% 1.37/1.59 pppp1-{F}(V0,V1) | p1-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #56: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #57: input, references = 4, size of lhs = 1:
% 1.37/1.59 pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #58: input, references = 5, size of lhs = 2:
% 1.37/1.59 pppp0-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #59: input, references = 5, size of lhs = 1:
% 1.37/1.59 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 number of initial rules = 60
% 1.37/1.59
% 1.37/1.59 Simplifiers:
% 1.37/1.59 #60: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #61: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #62: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #63: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #64: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #65: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #66: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #67: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #68: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #69: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #70: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #71: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #72: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #73: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #74: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #75: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #76: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #77: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp16-{F}(V0,V1), pppp16-{F}(V2,V3), V0 == V2 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #78: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #79: unsound, references = 3, size of lhs = 3:
% 1.37/1.59 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 number of simplifiers = 20
% 1.37/1.59
% 1.37/1.59 Learnt:
% 1.37/1.59 #82: disj( #7, input ), references = 2, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp6-{F}(V5,V4) | pppp21-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #83: disj( #7, input ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp11-{F}(V4,V5) | pppp21-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #85: disj( #15, input ), references = 1, size of lhs = 3:
% 1.37/1.59 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp12-{F}(V2,V3) | pppp26-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #94: disj( #45, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | p1-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #118: exists( #49, #114 ), references = 1, size of lhs = 2:
% 1.37/1.59 pppp4-{F}(V0,V1), pppp13-{F}(V0,V2) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #127: exists( #21, #123 ), references = 1, size of lhs = 2:
% 1.37/1.59 pppp15-{F}(V0,V1), pppp13-{F}(V1,V2) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #139: exists( #49, #135 ), references = 1, size of lhs = 4:
% 1.37/1.59 p1-{F}(V0), pppp4-{F}(V0,V1), r1-{F}(V2,V0), pppp11-{F}(V2,V3) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #154: disj( #46, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), pppp2-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | pppp27-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #155: disj( #46, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), pppp6-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | pppp27-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #156: disj( #46, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), pppp11-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | pppp27-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #164: exists( #21, #160 ), references = 1, size of lhs = 4:
% 1.37/1.59 p1-{F}(V0), pppp15-{F}(V1,V0), r1-{F}(V2,V0), pppp11-{F}(V2,V3) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #168: exists( #16, #166 ), references = 1, size of lhs = 2:
% 1.37/1.59 pppp26-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #170: disj( #15, exists( #16, #166 ) ), references = 2, size of lhs = 3:
% 1.37/1.59 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp11-{F}(V2,V3) | p1-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #176: exists( #6, #174 ), references = 2, size of lhs = 2:
% 1.37/1.59 pppp20-{F}(V0), pppp16-{F}(V1,V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #179: disj( #4, input, exists( #6, #174 ) ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp12-{F}(V3,V4), pppp16-{F}(V5,V1) | pppp19-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #187: exists( #33, #184 ), references = 1, size of lhs = 2:
% 1.37/1.59 pppp10-{F}(V0,V1), pppp13-{F}(V0,V2) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #205: disj( #7, input ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp7-{F}(V4,V5) | pppp21-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #268: exists( #56, #264 ), references = 1, size of lhs = 2:
% 1.37/1.59 pppp1-{F}(V0,V1), pppp13-{F}(V1,V2) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #292: exists( #33, #289 ), references = 1, size of lhs = 4:
% 1.37/1.59 p1-{F}(V0), pppp10-{F}(V0,V1), r1-{F}(V2,V0), pppp7-{F}(V2,V3) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #296: exists( #5, #294 ), references = 1, size of lhs = 2:
% 1.37/1.59 pppp19-{F}(V0), pppp7-{F}(V0,V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #299: disj( #4, input, exists( #5, #294 ) ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp7-{F}(V3,V4), pppp7-{F}(V3,V5) | pppp20-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #303: exists( #11, #301 ), references = 1, size of lhs = 5:
% 1.37/1.59 pppp23-{F}(V0), pppp17-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V0), pppp16-{F}(V3,V2) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #319: disj( #7, input ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp2-{F}(V5,V4) | pppp21-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #320: disj( #7, input ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp3-{F}(V4,V5) | pppp21-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #359: exists( #33, #356 ), references = 1, size of lhs = 4:
% 1.37/1.59 p1-{F}(V0), pppp10-{F}(V0,V1), r1-{F}(V2,V0), pppp11-{F}(V2,V3) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #363: exists( #5, #361 ), references = 1, size of lhs = 2:
% 1.37/1.59 pppp19-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #365: disj( #4, input, exists( #6, #174 ) ), references = 2, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp8-{F}(V4,V3), pppp16-{F}(V5,V1) | pppp19-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #409: disj( #45, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), pppp8-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | p1-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #410: disj( #45, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), pppp2-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | p1-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #411: disj( #45, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | p1-{T}(V3)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #428: disj( #45, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V3,V2), pppp4-{F}(V3,V4), pppp8-{F}(V5,V2) | p1-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #429: disj( #45, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V3,V2), pppp4-{F}(V3,V4), pppp2-{F}(V5,V2) | p1-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #430: disj( #45, input ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V3,V2), pppp4-{F}(V3,V4), pppp3-{F}(V2,V5) | p1-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #434: exists( #33, #432 ), references = 1, size of lhs = 6:
% 1.37/1.59 p1-{F}(V0), pppp10-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V3,V2), pppp4-{F}(V3,V4), pppp8-{F}(V5,V2) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #438: exists( #5, #436 ), references = 2, size of lhs = 4:
% 1.37/1.59 pppp19-{F}(V0), r1-{F}(V1,V0), pppp4-{F}(V1,V2), pppp8-{F}(V3,V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #446: exists( #8, #444 ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp21-{F}(V0), pppp17-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V0), pppp16-{F}(V3,V2), pppp4-{F}(V0,V4) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #451: mergings( V3 == V6; #449 ), references = 2, size of lhs = 9:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp4-{F}(V3,V4), r1-{F}(V0,V5), r1-{F}(V5,V2), pppp16-{F}(V6,V5), pppp4-{F}(V2,V7) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #457: mergings( V0 == V2; #455 ), references = 1, size of lhs = 4:
% 1.37/1.59 pppp25-{F}(V0), pppp17-{F}(V0), r1-{F}(V0,V0), pppp16-{F}(V1,V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #461: mergings( V0 == V1; #458 ), references = 2, size of lhs = 7:
% 1.37/1.59 p1-{F}(V0), pppp17-{F}(V0), r1-{F}(V0,V0), r1-{F}(V0,V1), r1-{F}(V0,V2), pppp12-{F}(V1,V3), pppp16-{F}(V4,V0) | pppp24-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #464: mergings( V0 == V4; #462 ), references = 1, size of lhs = 7:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp12-{F}(V1,V3), r1-{F}(V0,V4), r1-{F}(V4,V1), pppp16-{F}(V5,V4) | pppp22-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #468: disj( #15, input ), references = 1, size of lhs = 3:
% 1.37/1.59 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp6-{F}(V3,V2) | pppp26-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #469: disj( #15, input ), references = 1, size of lhs = 3:
% 1.37/1.59 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp8-{F}(V3,V2) | pppp26-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #489: exists( #8, #486 ), references = 2, size of lhs = 2:
% 1.37/1.59 pppp21-{F}(V0), pppp13-{F}(V0,V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #501: mergings( V0 == V4; #497 ), references = 1, size of lhs = 7:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp6-{F}(V3,V1), r1-{F}(V0,V4), r1-{F}(V4,V1), pppp16-{F}(V5,V4) | pppp22-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #509: exists( #10, #507 ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp22-{F}(V0), pppp17-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V0), pppp13-{F}(V3,V4) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #518: disj( #7, exists( #8, #486 ) ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp13-{F}(V2,V5) | p1-{T}(V4)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #522: exists( #56, #520 ), references = 1, size of lhs = 6:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp1-{F}(V4,V3), pppp13-{F}(V2,V5) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #525: exists( #13, #523 ), references = 2, size of lhs = 5:
% 1.37/1.59 pppp24-{F}(V0), pppp17-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V0), pppp13-{F}(V0,V3) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #531: mergings( V0 == V4, V1 == V5; #528 ), references = 2, size of lhs = 8:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V0), pppp17-{F}(V0), r1-{F}(V0,V1), pppp16-{F}(V2,V0), r1-{F}(V0,V3), r1-{F}(V3,V1), pppp13-{F}(V1,V4) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #537: mergings( V0 == V3; #535 ), references = 2, size of lhs = 4:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V0), pppp17-{F}(V0), pppp16-{F}(V1,V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #541: mergings( V5 == V6, V0 == V4; #538 ), references = 1, size of lhs = 7:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V0), pppp16-{F}(V4,V0) | pppp21-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #546: mergings( V3 == V0, V2 == V1; #542 ), references = 1, size of lhs = 3:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V0), pppp16-{F}(V1,V0) | pppp26-{T}(V0)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #552: mergings( V0 == V3, V3 == V7; #549 ), references = 2, size of lhs = 10:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V0,V3), r1-{F}(V3,V4), r1-{F}(V4,V2), pppp13-{F}(V4,V5), r1-{F}(V0,V6), r1-{F}(V6,V1), pppp16-{F}(V7,V6) | p1-{T}(V1)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #570: mergings( V0 == V6, V1 == V5, V6 == V7, V3 == V5, V5 == V4; #562 ), references = 1, size of lhs = 3:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V0), pppp16-{F}(V1,V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #576: exists( #18, #574 ), references = 1, size of lhs = 2:
% 1.37/1.59 pppp16-{F}(V0,V1), pppp13-{F}(V1,V2) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #587: exists( #14, #585 ), references = 1, size of lhs = 4:
% 1.37/1.59 pppp25-{F}(V0), pppp17-{F}(V1), r1-{F}(V1,V0), pppp16-{F}(V2,V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #592: mergings( V0 == V5; #588 ), references = 2, size of lhs = 7:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), pppp12-{F}(V1,V3), pppp17-{F}(V4), r1-{F}(V4,V0), pppp16-{F}(V5,V0) | pppp24-{T}(V2)
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #598: mergings( V0 == V5, V4 == V6; #595 ), references = 1, size of lhs = 8:
% 1.37/1.59 p1-{F}(V0), r1-{F}(V0,V1), pppp16-{F}(V2,V0), pppp17-{F}(V3), r1-{F}(V3,V0), r1-{F}(V3,V4), r1-{F}(V4,V1), pppp13-{F}(V1,V5) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #609: mergings( V0 == V5, V1 == V4, V5 == V6, V6 == V8, V3 == V7, V7 == V9; #602 ), references = 1, size of lhs = 4:
% 1.37/1.59 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V1), pppp16-{F}(V2,V1) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #613: exists( #3, #611 ), references = 1, size of lhs = 1:
% 1.37/1.59 pppp17-{F}(V0) | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 #616: exists( #1, #614 ), references = 1, size of lhs = 0:
% 1.37/1.59 FALSE | FALSE
% 1.37/1.59 (used 0 times, uses = {})
% 1.37/1.59
% 1.37/1.59 number of learnt formulas = 61
% 1.37/1.59
% 1.37/1.59
% 1.37/1.59 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.59
% 1.37/1.59 randbase = 1
%------------------------------------------------------------------------------