%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 12:06:33 PM UTC 2026
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 05:02:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.37 GeoParameters:
% 0.14/0.37
% 0.14/0.37 tptp_input = 1
% 0.14/0.37 tptp_output = 0
% 0.14/0.37 nonempty = 1
% 0.14/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 RuleSystem INPUT:
% 0.14/0.37
% 0.14/0.37 Initial Rules:
% 0.14/0.37 #0: input, references = 4, size of lhs = 0:
% 0.14/0.37 FALSE | EXISTS V0: pppp13-{T}(V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #1: input, references = 4, size of lhs = 1:
% 0.14/0.37 pppp13-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #2: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp13-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #3: input, references = 3, size of lhs = 5:
% 0.14/0.37 pppp13-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V0,V2), p1-{F}(V2) | pppp14-{T}(V1), p1-{T}(V1), p2-{T}(V2), pppp15-{T}(V2), pppp16-{T}(V0), pppp17-{T}(V0), pppp18-{T}(V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #4: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp14-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #5: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp15-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #6: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp16-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #7: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp17-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #8: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp18-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #9: input, references = 4, size of lhs = 1:
% 0.14/0.37 pppp12-{F}(V0,V1) | p1-{T}(V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #10: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp12-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #11: input, references = 4, size of lhs = 2:
% 0.14/0.37 pppp12-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #12: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp12-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #13: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp11-{F}(V0,V1) | p1-{T}(V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #14: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp11-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #15: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp11-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #16: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp11-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #17: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp10-{F}(V0,V1) | pppp9-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #18: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp9-{F}(V0,V1) | p1-{T}(V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #19: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp9-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #20: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp9-{F}(V0,V1) | p1-{T}(V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #21: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp9-{F}(V0,V1), p2-{F}(V1) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #22: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp9-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #23: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp9-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #24: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp9-{F}(V0,V1) | p2-{T}(V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #25: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #26: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #27: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V1,V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #28: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp7-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #29: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp7-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #30: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp7-{F}(V0,V1) | p2-{T}(V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #31: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp7-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #32: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp6-{F}(V0,V1) | pppp5-{T}(V1,V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #33: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp5-{F}(V0,V1) | p1-{T}(V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #34: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp5-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #35: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp5-{F}(V0,V1) | p1-{T}(V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #36: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp5-{F}(V0,V1), p2-{F}(V0) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #37: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #38: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp4-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #39: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp3-{F}(V0,V1) | p1-{T}(V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #40: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp3-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #41: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp3-{F}(V0,V1) | p1-{T}(V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #42: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp3-{F}(V0,V1), p2-{F}(V1) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #43: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #44: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #45: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp2-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #46: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp2-{F}(V0,V1), r1-{F}(V0,V2) | p2-{T}(V2)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #47: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp2-{F}(V0,V1) | p2-{T}(V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #48: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #49: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp1-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #50: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #51: input, references = 3, size of lhs = 2:
% 0.14/0.37 pppp0-{F}(V0,V1), p2-{F}(V0) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #52: input, references = 3, size of lhs = 1:
% 0.14/0.37 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 number of initial rules = 53
% 0.14/0.37
% 0.14/0.37 Simplifiers:
% 0.14/0.37 #53: unsound, references = 3, size of lhs = 3:
% 0.14/0.37 r1-{F}(V0,V1), r1-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #54: unsound, references = 3, size of lhs = 3:
% 0.14/0.37 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #55: unsound, references = 3, size of lhs = 3:
% 0.14/0.37 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #56: unsound, references = 3, size of lhs = 3:
% 0.14/0.37 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #57: unsound, references = 3, size of lhs = 3:
% 0.14/0.37 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #58: unsound, references = 3, size of lhs = 3:
% 0.14/0.37 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 number of simplifiers = 6
% 0.14/0.37
% 0.14/0.37 Learnt:
% 0.14/0.37 #61: exists( #1, #59 ), references = 1, size of lhs = 1:
% 0.14/0.37 pppp13-{F}(V0) | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 #63: exists( #0, #60 ), references = 1, size of lhs = 0:
% 0.14/0.37 FALSE | FALSE
% 0.14/0.37 (used 0 times, uses = {})
% 0.14/0.37
% 0.14/0.37 number of learnt formulas = 2
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 randbase = 1
%------------------------------------------------------------------------------