TSTP Solution File: LCL670+1.001 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL670+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:09:48 EDT 2022
% Result : Theorem 1.69s 1.87s
% Output : Refutation 1.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL670+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 : n028.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 22:30:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.69/1.87 GeoParameters:
% 1.69/1.87
% 1.69/1.87 tptp_input = 1
% 1.69/1.87 tptp_output = 0
% 1.69/1.87 nonempty = 1
% 1.69/1.87 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/1.87 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.69/1.87
% 1.69/1.87
% 1.69/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/1.87 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/1.87
% 1.69/1.87 RuleSystem INPUT:
% 1.69/1.87
% 1.69/1.87 Initial Rules:
% 1.69/1.87 #0: input, references = 9, size of lhs = 1:
% 1.69/1.87 #-{F} V0 | r1-{T}(V0,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #1: input, references = 4, size of lhs = 0:
% 1.69/1.87 FALSE | EXISTS V0: pppp15-{T}(V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #2: input, references = 4, size of lhs = 1:
% 1.69/1.87 pppp15-{F}(V0) | pppp14-{T}(V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #3: input, references = 3, size of lhs = 5:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V3) | EXISTS V4: pppp13-{T}(V4,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #4: input, references = 4, size of lhs = 1:
% 1.69/1.87 pppp14-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #5: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp14-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #6: input, references = 5, size of lhs = 4:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | p1-{T}(V3), pppp16-{T}(V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #7: input, references = 4, size of lhs = 1:
% 1.69/1.87 pppp16-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #8: input, references = 6, size of lhs = 4:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | pppp17-{T}(V3), pppp18-{T}(V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #9: input, references = 5, size of lhs = 1:
% 1.69/1.87 pppp17-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #10: input, references = 6, size of lhs = 1:
% 1.69/1.87 pppp18-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #11: input, references = 5, size of lhs = 6:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V2), r1-{F}(V2,V4) | p2-{T}(V3), pppp19-{T}(V4)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #12: input, references = 6, size of lhs = 1:
% 1.69/1.87 pppp19-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #13: input, references = 4, size of lhs = 6:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V2), r1-{F}(V2,V4) | pppp20-{T}(V3), pppp21-{T}(V4)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #14: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp20-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #15: input, references = 4, size of lhs = 1:
% 1.69/1.87 pppp21-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #16: input, references = 6, size of lhs = 3:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp1-{T}(V2,V3)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #17: input, references = 3, size of lhs = 3:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #18: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp13-{F}(V0,V1) | p1-{T}(V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #19: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #20: input, references = 7, size of lhs = 2:
% 1.69/1.87 pppp12-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp11-{T}(V2,V3)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #21: input, references = 4, size of lhs = 1:
% 1.69/1.87 pppp12-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #22: input, references = 3, size of lhs = 2:
% 1.69/1.87 pppp11-{F}(V0,V1), p2-{F}(V1) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #23: input, references = 7, size of lhs = 1:
% 1.69/1.87 pppp11-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #24: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V2,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #25: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp10-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V2,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #26: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp10-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #27: input, references = 3, size of lhs = 2:
% 1.69/1.87 pppp9-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #28: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #29: input, references = 4, size of lhs = 2:
% 1.69/1.87 pppp8-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #30: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp8-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #31: input, references = 4, size of lhs = 2:
% 1.69/1.87 pppp7-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #32: input, references = 4, size of lhs = 1:
% 1.69/1.87 pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #33: input, references = 5, size of lhs = 3:
% 1.69/1.87 pppp6-{F}(V0,V1), r1-{F}(V0,V2), p2-{F}(V2) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #34: input, references = 6, size of lhs = 1:
% 1.69/1.87 pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #35: input, references = 5, size of lhs = 1:
% 1.69/1.87 pppp5-{F}(V0,V1) | p2-{T}(V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #36: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V2)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #37: input, references = 5, size of lhs = 1:
% 1.69/1.87 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #38: input, references = 3, size of lhs = 2:
% 1.69/1.87 pppp4-{F}(V0,V1), p3-{F}(V1) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #39: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #40: input, references = 5, size of lhs = 3:
% 1.69/1.87 pppp3-{F}(V0,V1), r1-{F}(V0,V2), p2-{F}(V2) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #41: input, references = 7, size of lhs = 1:
% 1.69/1.87 pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #42: input, references = 3, size of lhs = 2:
% 1.69/1.87 pppp2-{F}(V0,V1), p3-{F}(V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #43: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #44: input, references = 6, size of lhs = 1:
% 1.69/1.87 pppp1-{F}(V0,V1) | p2-{T}(V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #45: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #46: input, references = 6, size of lhs = 1:
% 1.69/1.87 pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #47: input, references = 3, size of lhs = 2:
% 1.69/1.87 pppp0-{F}(V0,V1), p3-{F}(V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #48: input, references = 3, size of lhs = 1:
% 1.69/1.87 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 number of initial rules = 49
% 1.69/1.87
% 1.69/1.87 Simplifiers:
% 1.69/1.87 #49: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #50: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #51: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #52: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #53: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #54: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #55: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #56: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #57: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #58: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #59: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #60: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #61: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #62: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #63: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #64: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #65: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #66: unsound, references = 3, size of lhs = 3:
% 1.69/1.87 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 number of simplifiers = 18
% 1.69/1.87
% 1.69/1.87 Learnt:
% 1.69/1.87 #70: disj( #6, input ), references = 1, size of lhs = 5:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp9-{F}(V3,V4) | pppp16-{T}(V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #79: disj( #11, input ), references = 5, size of lhs = 7:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V2), r1-{F}(V2,V3), r1-{F}(V2,V4), pppp11-{F}(V5,V3) | pppp19-{T}(V4)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #97: exists( #16, #95 ), references = 2, size of lhs = 4:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp3-{F}(V2,V3) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #100: exists( #12, #98 ), references = 2, size of lhs = 3:
% 1.69/1.87 pppp19-{F}(V0), pppp14-{F}(V1), r1-{F}(V1,V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #105: mergings( V4 == V2; #103 ), references = 1, size of lhs = 6:
% 1.69/1.87 p2-{F}(V0), pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V0), r1-{F}(V2,V0), pppp12-{F}(V3,V2) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #115: mergings( V4 == V7; #113 ), references = 1, size of lhs = 8:
% 1.69/1.87 p2-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2), r1-{F}(V2,V1), r1-{F}(V2,V3), r1-{F}(V3,V0), r1-{F}(V4,V0), pppp12-{F}(V5,V4) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #121: mergings( V0 == V2; #119 ), references = 1, size of lhs = 4:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V0), pppp12-{F}(V2,V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #131: mergings( V0 == V5; #129 ), references = 2, size of lhs = 7:
% 1.69/1.87 p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), pppp14-{F}(V3), r1-{F}(V3,V2), r1-{F}(V3,V4), r1-{F}(V4,V0) | p2-{T}(V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #221: exists( #15, #219 ), references = 1, size of lhs = 3:
% 1.69/1.87 pppp21-{F}(V0), pppp14-{F}(V1), r1-{F}(V1,V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #224: mergings( V0 == V5; #222 ), references = 1, size of lhs = 7:
% 1.69/1.87 p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), pppp14-{F}(V3), r1-{F}(V3,V2), r1-{F}(V3,V4), r1-{F}(V4,V0) | pppp20-{T}(V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #279: exists( #10, #277 ), references = 1, size of lhs = 7:
% 1.69/1.87 pppp18-{F}(V0), p2-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2), r1-{F}(V2,V1), r1-{F}(V2,V3), r1-{F}(V3,V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #282: mergings( V0 == V5; #280 ), references = 2, size of lhs = 9:
% 1.69/1.87 p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V0,V3), pppp14-{F}(V4), r1-{F}(V4,V0), r1-{F}(V4,V3), r1-{F}(V4,V5), r1-{F}(V5,V0) | pppp17-{T}(V2)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #327: exists( #16, #325 ), references = 2, size of lhs = 4:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp6-{F}(V2,V3) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #331: exists( #10, #329 ), references = 1, size of lhs = 2:
% 1.69/1.87 pppp18-{F}(V0), pppp14-{F}(V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #334: mergings( V0 == V1; #332 ), references = 2, size of lhs = 4:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | pppp17-{T}(V2)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #357: exists( #7, #355 ), references = 1, size of lhs = 2:
% 1.69/1.87 pppp16-{F}(V0), pppp8-{F}(V0,V1) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #403: exists( #9, #400 ), references = 2, size of lhs = 2:
% 1.69/1.87 pppp17-{F}(V0), pppp3-{F}(V0,V1) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #407: exists( #12, #405 ), references = 1, size of lhs = 9:
% 1.69/1.87 pppp19-{F}(V0), p2-{F}(V1), r1-{F}(V1,V0), r1-{F}(V1,V2), pppp14-{F}(V3), r1-{F}(V3,V1), r1-{F}(V3,V2), r1-{F}(V3,V4), r1-{F}(V4,V1) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #412: mergings( V4 == V9; #410 ), references = 1, size of lhs = 14:
% 1.69/1.87 p2-{F}(V0), r1-{F}(V0,V1), p2-{F}(V2), r1-{F}(V2,V1), r1-{F}(V2,V3), pppp14-{F}(V4), r1-{F}(V4,V2), r1-{F}(V4,V3), r1-{F}(V4,V5), r1-{F}(V5,V0), r1-{F}(V4,V6), r1-{F}(V6,V2), r1-{F}(V7,V0), pppp12-{F}(V8,V7) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #458: disj( #6, input ), references = 1, size of lhs = 5:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp7-{F}(V3,V4) | pppp16-{T}(V1)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #521: exists( #10, #518 ), references = 1, size of lhs = 3:
% 1.69/1.87 pppp18-{F}(V0), pppp14-{F}(V1), r1-{F}(V1,V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #524: mergings( V0 == V4; #522 ), references = 2, size of lhs = 4:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | pppp17-{T}(V3)
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #561: exists( #12, #559 ), references = 1, size of lhs = 4:
% 1.69/1.87 pppp19-{F}(V0), pppp14-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #566: mergings( V4 == V7; #564 ), references = 1, size of lhs = 9:
% 1.69/1.87 p2-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2), r1-{F}(V2,V3), r1-{F}(V3,V0), r1-{F}(V2,V4), r1-{F}(V4,V1), r1-{F}(V5,V0), pppp12-{F}(V6,V5) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #572: mergings( V2 == V3; #570 ), references = 2, size of lhs = 4:
% 1.69/1.87 pppp17-{F}(V0), pppp14-{F}(V1), r1-{F}(V1,V0), pppp12-{F}(V2,V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #579: exists( #4, #577 ), references = 1, size of lhs = 2:
% 1.69/1.87 pppp14-{F}(V0), r1-{F}(V0,V0) | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 #583: exists( #1, #581 ), references = 1, size of lhs = 0:
% 1.69/1.87 FALSE | FALSE
% 1.69/1.87 (used 0 times, uses = {})
% 1.69/1.87
% 1.69/1.87 number of learnt formulas = 27
% 1.69/1.87
% 1.69/1.87
% 1.69/1.87 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/1.87
% 1.69/1.87 randbase = 1
%------------------------------------------------------------------------------