%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 12:06:30 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 13:21:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 GeoParameters:
% 0.09/0.38
% 0.09/0.38 tptp_input = 1
% 0.09/0.38 tptp_output = 0
% 0.09/0.38 nonempty = 1
% 0.09/0.38 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.09/0.38
% 0.09/0.38
% 0.09/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38
% 0.09/0.38 RuleSystem INPUT:
% 0.09/0.38
% 0.09/0.38 Initial Rules:
% 0.09/0.38 #0: input, references = 4, size of lhs = 0:
% 0.09/0.38 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #1: input, references = 4, size of lhs = 1:
% 0.09/0.38 pppp6-{F}(V0) | pppp5-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #2: input, references = 4, size of lhs = 1:
% 0.09/0.38 pppp5-{F}(V0) | p100-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #3: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp5-{F}(V0), p101-{F}(V0) | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #4: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp5-{F}(V0), p101-{F}(V0) | p100-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #5: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp5-{F}(V0), p102-{F}(V0) | p101-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #6: input, references = 3, size of lhs = 5:
% 0.09/0.38 pppp5-{F}(V0), r1-{F}(V0,V1), p100-{F}(V1), p1-{F}(V0), p100-{F}(V0) | p1-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #7: input, references = 3, size of lhs = 5:
% 0.09/0.38 pppp5-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1), p100-{F}(V1), p100-{F}(V0) | p1-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #8: input, references = 3, size of lhs = 5:
% 0.09/0.38 pppp5-{F}(V0), r1-{F}(V0,V1), p101-{F}(V1), p2-{F}(V0), p101-{F}(V0) | p2-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #9: input, references = 3, size of lhs = 5:
% 0.09/0.38 pppp5-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), p101-{F}(V1), p101-{F}(V0) | p2-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #10: input, references = 4, size of lhs = 2:
% 0.09/0.38 pppp5-{F}(V0), p100-{F}(V0) | pppp7-{T}(V0), p101-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #11: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp7-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #12: input, references = 4, size of lhs = 2:
% 0.09/0.38 pppp5-{F}(V0), p100-{F}(V0) | pppp8-{T}(V0), p101-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #13: input, references = 4, size of lhs = 1:
% 0.09/0.38 pppp8-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #14: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp5-{F}(V0), r1-{F}(V0,V1) | pppp2-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #15: input, references = 4, size of lhs = 2:
% 0.09/0.38 pppp5-{F}(V0), r1-{F}(V0,V1) | p2-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #16: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp4-{F}(V0,V1) | p101-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #17: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp4-{F}(V0,V1), p102-{F}(V1) | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #18: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp4-{F}(V0,V1) | p2-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #19: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #20: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp3-{F}(V0,V1) | p101-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #21: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp3-{F}(V0,V1), p102-{F}(V1) | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #22: input, references = 4, size of lhs = 2:
% 0.09/0.38 pppp3-{F}(V0,V1), p2-{F}(V1) | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #23: input, references = 4, size of lhs = 1:
% 0.09/0.38 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #24: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp2-{F}(V0), p101-{F}(V0) | p100-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #25: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp2-{F}(V0), p102-{F}(V0) | p101-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #26: input, references = 3, size of lhs = 5:
% 0.09/0.38 pppp2-{F}(V0), r1-{F}(V0,V1), p100-{F}(V1), p1-{F}(V0), p100-{F}(V0) | p1-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #27: input, references = 3, size of lhs = 5:
% 0.09/0.38 pppp2-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1), p100-{F}(V1), p100-{F}(V0) | p1-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #28: input, references = 3, size of lhs = 5:
% 0.09/0.38 pppp2-{F}(V0), r1-{F}(V0,V1), p101-{F}(V1), p2-{F}(V0), p101-{F}(V0) | p2-{T}(V1)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #29: input, references = 3, size of lhs = 5:
% 0.09/0.38 pppp2-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), p101-{F}(V1), p101-{F}(V0) | p2-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #30: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp2-{F}(V0), p100-{F}(V0) | pppp9-{T}(V0), p101-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #31: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp9-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #32: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp2-{F}(V0), p100-{F}(V0) | pppp10-{T}(V0), p101-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #33: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp10-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #34: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp1-{F}(V0,V1) | p101-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #35: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp1-{F}(V0,V1), p102-{F}(V0) | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #36: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp1-{F}(V0,V1) | p2-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #37: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #38: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp0-{F}(V0,V1) | p101-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #39: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp0-{F}(V0,V1), p102-{F}(V0) | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #40: input, references = 3, size of lhs = 2:
% 0.09/0.38 pppp0-{F}(V0,V1), p2-{F}(V0) | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #41: input, references = 3, size of lhs = 1:
% 0.09/0.38 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 number of initial rules = 42
% 0.09/0.38
% 0.09/0.38 Simplifiers:
% 0.09/0.38 #42: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #43: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #44: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #45: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #46: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #47: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #48: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #49: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #50: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #51: unsound, references = 3, size of lhs = 3:
% 0.09/0.38 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 number of simplifiers = 10
% 0.09/0.38
% 0.09/0.38 Learnt:
% 0.09/0.38 #53: disj( #10, input ), references = 1, size of lhs = 2:
% 0.09/0.38 p100-{F}(V0), pppp5-{F}(V0) | pppp7-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #55: disj( #12, input ), references = 1, size of lhs = 2:
% 0.09/0.38 p100-{F}(V0), pppp5-{F}(V0) | pppp8-{T}(V0)
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #59: exists( #13, #57 ), references = 1, size of lhs = 2:
% 0.09/0.38 pppp8-{F}(V0), pppp5-{F}(V0) | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 #64: exists( #0, #62 ), references = 1, size of lhs = 0:
% 0.09/0.38 FALSE | FALSE
% 0.09/0.38 (used 0 times, uses = {})
% 0.09/0.38
% 0.09/0.38 number of learnt formulas = 4
% 0.09/0.38
% 0.09/0.38
% 0.09/0.38 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38
% 0.09/0.38 randbase = 1
%------------------------------------------------------------------------------