%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL654+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 12:06:38 PM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL654+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 : n027.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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 00:40:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.42 GeoParameters:
% 0.12/0.42
% 0.12/0.42 tptp_input = 1
% 0.12/0.42 tptp_output = 0
% 0.12/0.42 nonempty = 1
% 0.12/0.42 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.42
% 0.12/0.42
% 0.12/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 RuleSystem INPUT:
% 0.12/0.42
% 0.12/0.42 Initial Rules:
% 0.12/0.42 #0: input, references = 5, size of lhs = 1:
% 0.12/0.42 #-{F} V0 | r1-{T}(V0,V0)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #1: input, references = 4, size of lhs = 0:
% 0.12/0.42 FALSE | EXISTS V0: pppp9-{T}(V0)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #2: input, references = 4, size of lhs = 1:
% 0.12/0.42 pppp9-{F}(V0) | pppp8-{T}(V0)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #3: input, references = 4, size of lhs = 1:
% 0.12/0.42 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #4: input, references = 3, size of lhs = 2:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V1,V2)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #5: input, references = 4, size of lhs = 4:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V1,V3) | pppp10-{T}(V2), pppp11-{T}(V3)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #6: input, references = 4, size of lhs = 1:
% 0.12/0.42 pppp10-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #7: input, references = 4, size of lhs = 1:
% 0.12/0.42 pppp11-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #8: input, references = 4, size of lhs = 5:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V2,V4) | pppp12-{T}(V3), p1-{T}(V4)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #9: input, references = 5, size of lhs = 1:
% 0.12/0.42 pppp12-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #10: input, references = 3, size of lhs = 4:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p1-{F}(V1) | EXISTS V3: pppp0-{T}(V2,V3)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #11: input, references = 5, size of lhs = 2:
% 0.12/0.42 pppp7-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #12: input, references = 5, size of lhs = 1:
% 0.12/0.42 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #13: input, references = 4, size of lhs = 1:
% 0.12/0.42 pppp7-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #14: input, references = 6, size of lhs = 1:
% 0.12/0.42 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V2)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #15: input, references = 5, size of lhs = 1:
% 0.12/0.42 pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #16: input, references = 4, size of lhs = 2:
% 0.12/0.42 pppp5-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #17: input, references = 6, size of lhs = 1:
% 0.12/0.42 pppp5-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #18: input, references = 3, size of lhs = 1:
% 0.12/0.42 pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #19: input, references = 4, size of lhs = 2:
% 0.12/0.42 pppp3-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #20: input, references = 4, size of lhs = 1:
% 0.12/0.42 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #21: input, references = 5, size of lhs = 2:
% 0.12/0.42 pppp2-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #22: input, references = 4, size of lhs = 1:
% 0.12/0.42 pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #23: input, references = 5, size of lhs = 2:
% 0.12/0.42 pppp1-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #24: input, references = 5, size of lhs = 1:
% 0.12/0.42 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #25: input, references = 3, size of lhs = 1:
% 0.12/0.42 pppp0-{F}(V0,V1) | p1-{T}(V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #26: input, references = 3, size of lhs = 1:
% 0.12/0.42 pppp0-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 number of initial rules = 27
% 0.12/0.42
% 0.12/0.42 Simplifiers:
% 0.12/0.42 #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #31: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #32: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #33: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #34: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #35: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #36: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #37: unsound, references = 3, size of lhs = 3:
% 0.12/0.42 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 number of simplifiers = 11
% 0.12/0.42
% 0.12/0.42 Learnt:
% 0.12/0.42 #39: disj( #8, input ), references = 3, size of lhs = 6:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V2,V4), pppp5-{F}(V5,V4) | pppp12-{T}(V3)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #48: exists( #9, #46 ), references = 1, size of lhs = 2:
% 0.12/0.42 pppp12-{F}(V0), pppp7-{F}(V1,V0) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #52: exists( #14, #50 ), references = 1, size of lhs = 6:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp6-{F}(V2,V3), r1-{F}(V2,V4), pppp7-{F}(V5,V4) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #57: exists( #14, #55 ), references = 1, size of lhs = 2:
% 0.12/0.42 pppp2-{F}(V0,V1), pppp6-{F}(V1,V2) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #69: exists( #9, #66 ), references = 1, size of lhs = 2:
% 0.12/0.42 pppp12-{F}(V0), pppp2-{F}(V1,V0) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #73: exists( #14, #71 ), references = 2, size of lhs = 6:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp6-{F}(V2,V3), r1-{F}(V2,V4), pppp2-{F}(V5,V4) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #90: exists( #7, #86 ), references = 1, size of lhs = 2:
% 0.12/0.42 pppp11-{F}(V0), pppp7-{F}(V1,V0) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #92: disj( #5, exists( #7, #86 ) ), references = 3, size of lhs = 5:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V1,V3), pppp7-{F}(V4,V3) | pppp10-{T}(V2)
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #96: exists( #6, #94 ), references = 2, size of lhs = 5:
% 0.12/0.42 pppp10-{F}(V0), pppp8-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V0), pppp6-{F}(V0,V3) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #104: mergings( V0 == V5, V1 == V4, V3 == V4; #100 ), references = 1, size of lhs = 3:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V0), pppp7-{F}(V1,V0) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #111: mergings( V0 == V5, V1 == V4, V3 == V6; #107 ), references = 1, size of lhs = 4:
% 0.12/0.42 pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V1), pppp7-{F}(V2,V1) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #115: exists( #3, #113 ), references = 1, size of lhs = 1:
% 0.12/0.42 pppp8-{F}(V0) | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 #118: exists( #1, #116 ), references = 1, size of lhs = 0:
% 0.12/0.42 FALSE | FALSE
% 0.12/0.42 (used 0 times, uses = {})
% 0.12/0.42
% 0.12/0.42 number of learnt formulas = 13
% 0.12/0.42
% 0.12/0.42
% 0.12/0.42 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 randbase = 1
%------------------------------------------------------------------------------