TSTP Solution File: NUM533+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM533+2 : 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 06:12:42 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % 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 23:35:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41 GeoParameters:
% 0.18/0.41
% 0.18/0.41 tptp_input = 1
% 0.18/0.41 tptp_output = 0
% 0.18/0.41 nonempty = 1
% 0.18/0.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 RuleSystem INPUT:
% 0.18/0.41
% 0.18/0.41 Initial Rules:
% 0.18/0.41 #0: input, references = 3, size of lhs = 2:
% 0.18/0.41 aSet0-{F}(V0), aElementOf0-{F}(V1,V0) | aElement0-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #1: input, references = 3, size of lhs = 1:
% 0.18/0.41 P_slcrc0-{F}(V0) | pppp0-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #2: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), pppp0-{F}(V1), V1 == V0 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #3: input, references = 3, size of lhs = 2:
% 0.18/0.41 P_slcrc0-{F}(V0), pppp0-{F}(V1) | aSet0-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #4: input, references = 5, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), pppp0-{F}(V1), aElementOf0-{F}(V2,V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #5: input, references = 4, size of lhs = 2:
% 0.18/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1) | pppp0-{T}(V1), pppp6-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #6: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp6-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #7: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp2-{F}(V0,V1) | aElementOf0-{T}(V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #8: input, references = 3, size of lhs = 1:
% 0.18/0.41 P_slcrc0-{F}(V0) | isFinite0-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #9: input, references = 3, size of lhs = 4:
% 0.18/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1), isCountable0-{F}(V1), isFinite0-{F}(V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #10: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V0), isCountable0-{F}(V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #11: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1), aSubsetOf0-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #12: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1), pppp1-{F}(V1,V2) | aSubsetOf0-{T}(V2,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #13: input, references = 3, size of lhs = 2:
% 0.18/0.41 P_slcrc0-{F}(V0), pppp1-{F}(V1,V2) | aSet0-{T}(V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #14: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), pppp1-{F}(V1,V2), aElementOf0-{F}(V3,V2) | aElementOf0-{T}(V3,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #15: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), #-{F} V1, aSet0-{F}(V2) | pppp1-{T}(V1,V2), pppp7-{T}(V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #16: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp7-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #17: input, references = 3, size of lhs = 2:
% 0.18/0.41 pppp3-{F}(V0,V1,V2), aElementOf0-{F}(V2,V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #18: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp3-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #19: input, references = 3, size of lhs = 4:
% 0.18/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1), isFinite0-{F}(V1), aSubsetOf0-{F}(V2,V1) | isFinite0-{T}(V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #20: input, references = 3, size of lhs = 2:
% 0.18/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1) | aSubsetOf0-{T}(V1,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #21: input, references = 3, size of lhs = 6:
% 0.18/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1), aSet0-{F}(V2), aSubsetOf0-{F}(V2,V1), aSubsetOf0-{F}(V1,V2), V2 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #22: input, references = 4, size of lhs = 4:
% 0.18/0.41 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | aSet0-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #23: input, references = 3, size of lhs = 4:
% 0.18/0.41 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | aSet0-{T}(V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #24: input, references = 3, size of lhs = 4:
% 0.18/0.41 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | aSet0-{T}(V3)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #25: input, references = 6, size of lhs = 4:
% 0.18/0.41 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | pppp5-{T}(V1,V2,V3)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #26: input, references = 3, size of lhs = 2:
% 0.18/0.41 pppp5-{F}(V0,V1,V2), aSubsetOf0-{F}(V0,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #27: input, references = 5, size of lhs = 1:
% 0.18/0.41 pppp5-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V3,V0,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #28: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp5-{F}(V0,V1,V2) | aSubsetOf0-{T}(V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #29: input, references = 4, size of lhs = 2:
% 0.18/0.41 pppp5-{F}(V0,V1,V2), aElementOf0-{F}(V3,V1) | aElementOf0-{T}(V3,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #30: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp5-{F}(V0,V1,V2) | aSubsetOf0-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #31: input, references = 5, size of lhs = 2:
% 0.18/0.41 pppp5-{F}(V0,V1,V2), aElementOf0-{F}(V3,V0) | aElementOf0-{T}(V3,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #32: input, references = 4, size of lhs = 2:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), aElementOf0-{F}(V0,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #33: input, references = 5, size of lhs = 1:
% 0.18/0.41 pppp4-{F}(V0,V1,V2) | aElementOf0-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #34: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_slcrc0-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #35: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_xA-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #36: input, references = 5, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_xB-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #37: input, references = 6, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_xC-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of initial rules = 38
% 0.18/0.41
% 0.18/0.41 Simplifiers:
% 0.18/0.41 #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), P_slcrc0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_xA-{F}(V0), P_xA-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_xB-{F}(V0), P_xB-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_xC-{F}(V0), P_xC-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #42: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #43: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of simplifiers = 12
% 0.18/0.41
% 0.18/0.41 Learnt:
% 0.18/0.41 #54: mergings( V0 == V2; #52 ), references = 2, size of lhs = 3:
% 0.18/0.41 aSet0-{F}(V0), P_slcrc0-{F}(V1), V0 == V1 | pppp6-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #57: exists( #27, #55 ), references = 1, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), pppp0-{F}(V1), pppp5-{F}(V1,V2,V3) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #61: mergings( V1 == V4; #59 ), references = 1, size of lhs = 4:
% 0.18/0.41 P_xA-{F}(V0), pppp0-{F}(V0), P_xB-{F}(V1), P_slcrc0-{F}(V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #64: mergings( V1 == V3; #62 ), references = 1, size of lhs = 3:
% 0.18/0.41 P_xA-{F}(V0), pppp0-{F}(V0), P_slcrc0-{F}(V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #70: exists( #6, #68 ), references = 1, size of lhs = 4:
% 0.18/0.41 pppp6-{F}(V0), P_slcrc0-{F}(V1), pppp0-{F}(V2), pppp5-{F}(V0,V2,V3) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #79: mergings( V1 == V3, V3 == V6, V6 == V7, V2 == V5; #74 ), references = 1, size of lhs = 5:
% 0.18/0.41 P_xA-{F}(V0), P_xB-{F}(V1), pppp0-{F}(V1), P_slcrc0-{F}(V2), V0 == V2 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #97: mergings( V0 == V6, V1 == V4, V5 == V2; #93 ), references = 1, size of lhs = 1:
% 0.18/0.41 pppp5-{F}(V0,V1,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #100: exists( #37, #98 ), references = 1, size of lhs = 3:
% 0.18/0.41 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #102: exists( #36, #99 ), references = 1, size of lhs = 2:
% 0.18/0.41 P_slcrc0-{F}(V0), P_xA-{F}(V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #104: exists( #35, #101 ), references = 1, size of lhs = 1:
% 0.18/0.41 P_slcrc0-{F}(V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #106: exists( #34, #103 ), references = 1, size of lhs = 0:
% 0.18/0.41 FALSE | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of learnt formulas = 11
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 randbase = 1
%------------------------------------------------------------------------------