%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:31 PM UTC 2026
% Result : Theorem 1.46s 1.71s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.07/0.34 % Computer : n010.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 13:35:38 UTC 2026
% 0.07/0.35 % CPUTime :
% 1.46/1.71 GeoParameters:
% 1.46/1.71
% 1.46/1.71 tptp_input = 1
% 1.46/1.71 tptp_output = 0
% 1.46/1.71 nonempty = 1
% 1.46/1.71 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.71 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.46/1.71
% 1.46/1.71
% 1.46/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.71
% 1.46/1.71 RuleSystem INPUT:
% 1.46/1.71
% 1.46/1.71 Initial Rules:
% 1.46/1.71 #0: input, references = 4, size of lhs = 0:
% 1.46/1.71 FALSE | EXISTS V0: pppp18-{T}(V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #1: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp18-{F}(V0) | pppp17-{T}(V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #2: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp17-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #3: input, references = 6, size of lhs = 4:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | p1-{T}(V3), pppp19-{T}(V3), pppp20-{T}(V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #4: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp19-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #5: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp20-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #6: input, references = 6, size of lhs = 5:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #7: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp21-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #8: input, references = 5, size of lhs = 3:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V1), pppp22-{T}(V2), pppp23-{T}(V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #9: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp22-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #10: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp23-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #11: input, references = 4, size of lhs = 5:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #12: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp24-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #13: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp25-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #14: input, references = 7, size of lhs = 2:
% 1.46/1.71 pppp16-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2), pppp26-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #15: input, references = 6, size of lhs = 1:
% 1.46/1.71 pppp26-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #16: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp16-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #17: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp16-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #18: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp16-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #19: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp15-{F}(V0,V1) | p1-{T}(V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #20: input, references = 6, size of lhs = 1:
% 1.46/1.71 pppp15-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #21: input, references = 6, size of lhs = 1:
% 1.46/1.71 pppp15-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #22: input, references = 5, size of lhs = 2:
% 1.46/1.71 pppp14-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #23: input, references = 6, size of lhs = 1:
% 1.46/1.71 pppp14-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #24: input, references = 10, size of lhs = 2:
% 1.46/1.71 pppp13-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #25: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #26: input, references = 4, size of lhs = 2:
% 1.46/1.71 pppp12-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #27: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp12-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #28: input, references = 4, size of lhs = 4:
% 1.46/1.71 pppp11-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #29: input, references = 3, size of lhs = 2:
% 1.46/1.71 pppp11-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #30: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #31: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp10-{F}(V0,V1) | p1-{T}(V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #32: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #33: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp10-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #34: input, references = 4, size of lhs = 2:
% 1.46/1.71 pppp9-{F}(V0,V1), p1-{F}(V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #35: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #36: input, references = 4, size of lhs = 2:
% 1.46/1.71 pppp8-{F}(V0,V1), p1-{F}(V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #37: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #38: input, references = 4, size of lhs = 4:
% 1.46/1.71 pppp7-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #39: input, references = 4, size of lhs = 2:
% 1.46/1.71 pppp7-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #40: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #41: input, references = 4, size of lhs = 2:
% 1.46/1.71 pppp6-{F}(V0,V1), p1-{F}(V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #42: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #43: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp5-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #44: input, references = 4, size of lhs = 5:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #45: input, references = 3, size of lhs = 5:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #46: input, references = 3, size of lhs = 1:
% 1.46/1.71 pppp27-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #47: input, references = 3, size of lhs = 1:
% 1.46/1.71 pppp4-{F}(V0,V1) | p1-{T}(V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #48: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp4-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #49: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #50: input, references = 3, size of lhs = 2:
% 1.46/1.71 pppp3-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #51: input, references = 3, size of lhs = 1:
% 1.46/1.71 pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #52: input, references = 5, size of lhs = 2:
% 1.46/1.71 pppp2-{F}(V0,V1), p1-{F}(V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #53: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #54: input, references = 3, size of lhs = 1:
% 1.46/1.71 pppp1-{F}(V0,V1) | p1-{T}(V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #55: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #56: input, references = 4, size of lhs = 1:
% 1.46/1.71 pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #57: input, references = 5, size of lhs = 2:
% 1.46/1.71 pppp0-{F}(V0,V1), p1-{F}(V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #58: input, references = 5, size of lhs = 1:
% 1.46/1.71 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 number of initial rules = 59
% 1.46/1.71
% 1.46/1.71 Simplifiers:
% 1.46/1.71 #59: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #60: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #61: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #62: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #63: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #64: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #65: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #66: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #67: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #68: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #69: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #70: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #71: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #72: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #73: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #74: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #75: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #76: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp16-{F}(V0,V1), pppp16-{F}(V2,V3), V0 == V2 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #77: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #78: unsound, references = 3, size of lhs = 3:
% 1.46/1.71 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 number of simplifiers = 20
% 1.46/1.71
% 1.46/1.71 Learnt:
% 1.46/1.71 #80: disj( #14, input ), references = 1, size of lhs = 3:
% 1.46/1.71 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp12-{F}(V2,V3) | pppp26-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #84: exists( #17, #82 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp16-{F}(V0,V1), pppp13-{F}(V1,V2) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #88: exists( #20, #86 ), references = 2, size of lhs = 4:
% 1.46/1.71 p1-{F}(V0), pppp15-{F}(V1,V0), r1-{F}(V2,V0), pppp11-{F}(V2,V3) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #92: disj( #6, input ), references = 2, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp14-{F}(V4,V5) | pppp21-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #93: disj( #6, input ), references = 1, size of lhs = 6:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #94: disj( #6, input ), references = 1, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp8-{F}(V5,V4) | pppp21-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #98: disj( #14, input ), references = 1, size of lhs = 3:
% 1.46/1.71 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp11-{F}(V2,V3) | pppp26-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #99: disj( #14, input ), references = 1, size of lhs = 3:
% 1.46/1.71 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp8-{F}(V3,V2) | pppp26-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #100: disj( #14, input ), references = 1, size of lhs = 3:
% 1.46/1.71 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp14-{F}(V2,V3) | pppp26-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #107: exists( #15, #104 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp26-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #111: exists( #5, #109 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp20-{F}(V0), pppp16-{F}(V1,V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #113: disj( #6, input ), references = 1, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp12-{F}(V4,V5) | pppp21-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #125: exists( #20, #121 ), references = 2, size of lhs = 4:
% 1.46/1.71 p1-{F}(V0), pppp15-{F}(V1,V0), r1-{F}(V2,V0), pppp7-{F}(V2,V3) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #130: exists( #10, #128 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp23-{F}(V0), pppp13-{F}(V0,V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #132: disj( #8, input, exists( #10, #128 ) ), references = 1, size of lhs = 5:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp12-{F}(V1,V3), pppp13-{F}(V1,V4) | pppp22-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #143: disj( #14, input ), references = 1, size of lhs = 3:
% 1.46/1.71 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp7-{F}(V2,V3) | pppp26-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #144: disj( #14, input ), references = 1, size of lhs = 3:
% 1.46/1.71 pppp16-{F}(V0,V1), r1-{F}(V1,V2), pppp6-{F}(V3,V2) | pppp26-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #154: exists( #15, #150 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp26-{F}(V0), pppp7-{F}(V0,V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #158: exists( #10, #156 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp23-{F}(V0), pppp16-{F}(V1,V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #160: disj( #3, input, exists( #5, #109 ) ), references = 1, size of lhs = 6:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #172: exists( #9, #169 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp22-{F}(V0), pppp13-{F}(V0,V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #174: disj( #8, exists( #9, #169 ), exists( #10, #156 ) ), references = 1, size of lhs = 5:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp13-{F}(V2,V3), pppp16-{F}(V4,V1) | p1-{T}(V1)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #193: exists( #48, #190 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp4-{F}(V0,V1), pppp13-{F}(V0,V2) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #198: disj( #44, input ), references = 1, size of lhs = 6:
% 1.46/1.71 p1-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | p1-{T}(V3)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #199: disj( #44, input ), references = 2, size of lhs = 6:
% 1.46/1.71 p1-{F}(V0), r1-{F}(V0,V1), pppp9-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V4,V3), pppp4-{F}(V4,V5) | p1-{T}(V3)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #200: disj( #44, input ), references = 1, size of lhs = 6:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #209: disj( #3, input, exists( #5, #109 ) ), references = 1, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp2-{F}(V4,V3), pppp16-{F}(V5,V1) | pppp19-{T}(V3)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #210: disj( #3, input, exists( #5, #109 ) ), references = 1, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp7-{F}(V3,V4), pppp16-{F}(V5,V1) | pppp19-{T}(V3)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #233: exists( #32, #229 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp10-{F}(V0,V1), pppp13-{F}(V0,V2) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #234: exists( #32, #230 ), references = 2, size of lhs = 6:
% 1.46/1.71 p1-{F}(V0), pppp10-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V3,V2), pppp4-{F}(V3,V4), pppp2-{F}(V5,V2) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #240: exists( #4, #237 ), references = 1, size of lhs = 4:
% 1.46/1.71 pppp19-{F}(V0), r1-{F}(V1,V0), pppp4-{F}(V1,V2), pppp2-{F}(V3,V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #244: exists( #48, #242 ), references = 1, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp4-{F}(V2,V3), pppp16-{F}(V4,V1), pppp4-{F}(V2,V5) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #248: exists( #13, #246 ), references = 1, size of lhs = 4:
% 1.46/1.71 pppp25-{F}(V0), pppp17-{F}(V1), r1-{F}(V1,V0), pppp16-{F}(V2,V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #252: mergings( V0 == V5; #249 ), references = 2, size of lhs = 7:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #269: exists( #55, #265 ), references = 1, size of lhs = 2:
% 1.46/1.71 pppp1-{F}(V0,V1), pppp13-{F}(V1,V2) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #272: disj( #3, input, exists( #5, #109 ) ), references = 1, size of lhs = 6:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #283: exists( #7, #280 ), references = 2, size of lhs = 2:
% 1.46/1.71 pppp21-{F}(V0), pppp13-{F}(V0,V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #293: exists( #20, #291 ), references = 1, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp15-{F}(V4,V3), pppp13-{F}(V2,V5) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #296: exists( #15, #294 ), references = 1, size of lhs = 5:
% 1.46/1.71 pppp26-{F}(V0), pppp17-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V0), pppp13-{F}(V0,V3) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #298: disj( #14, exists( #15, #294 ) ), references = 1, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp13-{F}(V2,V3), r1-{F}(V4,V2), pppp16-{F}(V5,V4) | p1-{T}(V2)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #312: disj( #6, exists( #7, #280 ) ), references = 1, size of lhs = 6:
% 1.46/1.71 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)
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #316: exists( #55, #314 ), references = 1, size of lhs = 6:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp1-{F}(V4,V3), pppp13-{F}(V2,V5) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #319: exists( #12, #317 ), references = 1, size of lhs = 5:
% 1.46/1.71 pppp24-{F}(V0), pppp17-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V0), pppp13-{F}(V0,V3) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #325: mergings( V0 == V5, V4 == V6; #322 ), references = 1, size of lhs = 8:
% 1.46/1.71 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
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #334: mergings( V0 == V4, V4 == V5, V5 == V7, V3 == V6, V6 == V8; #328 ), references = 1, size of lhs = 3:
% 1.46/1.71 pppp17-{F}(V0), r1-{F}(V0,V1), pppp16-{F}(V2,V1) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #337: exists( #2, #335 ), references = 1, size of lhs = 1:
% 1.46/1.71 pppp17-{F}(V0) | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 #340: exists( #0, #338 ), references = 1, size of lhs = 0:
% 1.46/1.71 FALSE | FALSE
% 1.46/1.71 (used 0 times, uses = {})
% 1.46/1.71
% 1.46/1.71 number of learnt formulas = 47
% 1.46/1.71
% 1.46/1.71
% 1.46/1.71 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.71
% 1.46/1.71 randbase = 1
%------------------------------------------------------------------------------