TSTP Solution File: NUM533+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM533+1 : TPTP v8.1.0. 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 : 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 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Jul 22 23:34:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.41 GeoParameters:
% 0.20/0.41
% 0.20/0.41 tptp_input = 1
% 0.20/0.41 tptp_output = 0
% 0.20/0.41 nonempty = 1
% 0.20/0.41 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41
% 0.20/0.41 RuleSystem INPUT:
% 0.20/0.41
% 0.20/0.41 Initial Rules:
% 0.20/0.41 #0: input, references = 3, size of lhs = 2:
% 0.20/0.41 aSet0-{F}(V0), aElementOf0-{F}(V1,V0) | aElement0-{T}(V1)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #1: input, references = 3, size of lhs = 1:
% 0.20/0.41 P_slcrc0-{F}(V0) | pppp0-{T}(V0)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #2: input, references = 3, size of lhs = 3:
% 0.20/0.41 P_slcrc0-{F}(V0), pppp0-{F}(V1), V1 == V0 | FALSE
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #3: input, references = 3, size of lhs = 2:
% 0.20/0.41 P_slcrc0-{F}(V0), pppp0-{F}(V1) | aSet0-{T}(V1)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #4: input, references = 4, size of lhs = 3:
% 0.20/0.41 P_slcrc0-{F}(V0), pppp0-{F}(V1), aElementOf0-{F}(V2,V1) | FALSE
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #5: input, references = 4, size of lhs = 2:
% 0.20/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1) | pppp0-{T}(V1), pppp4-{T}(V1)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #6: input, references = 3, size of lhs = 1:
% 0.20/0.41 pppp4-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #7: input, references = 3, size of lhs = 1:
% 0.20/0.41 pppp2-{F}(V0,V1) | aElementOf0-{T}(V1,V0)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #8: input, references = 3, size of lhs = 1:
% 0.20/0.41 P_slcrc0-{F}(V0) | isFinite0-{T}(V0)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #9: input, references = 3, size of lhs = 4:
% 0.20/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1), isCountable0-{F}(V1), isFinite0-{F}(V1) | FALSE
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #10: input, references = 3, size of lhs = 3:
% 0.20/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V0), isCountable0-{F}(V0) | FALSE
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #11: input, references = 5, size of lhs = 3:
% 0.20/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1), aSubsetOf0-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #12: input, references = 4, size of lhs = 3:
% 0.20/0.41 P_slcrc0-{F}(V0), aSet0-{F}(V1), pppp1-{F}(V1,V2) | aSubsetOf0-{T}(V2,V1)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #13: input, references = 3, size of lhs = 2:
% 0.20/0.41 P_slcrc0-{F}(V0), pppp1-{F}(V1,V2) | aSet0-{T}(V2)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #14: input, references = 5, size of lhs = 3:
% 0.20/0.41 P_slcrc0-{F}(V0), pppp1-{F}(V1,V2), aElementOf0-{F}(V3,V2) | aElementOf0-{T}(V3,V1)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #15: input, references = 5, size of lhs = 3:
% 0.20/0.41 P_slcrc0-{F}(V0), #-{F} V1, aSet0-{F}(V2) | pppp1-{T}(V1,V2), pppp5-{T}(V1,V2)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #16: input, references = 5, size of lhs = 1:
% 0.20/0.41 pppp5-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #17: input, references = 4, size of lhs = 2:
% 0.20/0.41 pppp3-{F}(V0,V1,V2), aElementOf0-{F}(V2,V0) | FALSE
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #18: input, references = 5, size of lhs = 1:
% 0.20/0.41 pppp3-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V1)
% 0.20/0.41 (used 0 times, uses = {})
% 0.20/0.41
% 0.20/0.41 #19: input, references = 3, size of lhs = 4:
% 0.20/0.42 P_slcrc0-{F}(V0), aSet0-{F}(V1), isFinite0-{F}(V1), aSubsetOf0-{F}(V2,V1) | isFinite0-{T}(V2)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #20: input, references = 3, size of lhs = 2:
% 0.20/0.42 P_slcrc0-{F}(V0), aSet0-{F}(V1) | aSubsetOf0-{T}(V1,V1)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #21: input, references = 3, size of lhs = 6:
% 0.20/0.42 P_slcrc0-{F}(V0), aSet0-{F}(V1), aSet0-{F}(V2), aSubsetOf0-{F}(V2,V1), aSubsetOf0-{F}(V1,V2), V2 == V1 | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #22: input, references = 4, size of lhs = 4:
% 0.20/0.42 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | aSet0-{T}(V1)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #23: input, references = 4, size of lhs = 4:
% 0.20/0.42 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | aSet0-{T}(V2)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #24: input, references = 5, size of lhs = 4:
% 0.20/0.42 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | aSet0-{T}(V3)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #25: input, references = 4, size of lhs = 4:
% 0.20/0.42 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | aSubsetOf0-{T}(V1,V2)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #26: input, references = 4, size of lhs = 4:
% 0.20/0.42 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3) | aSubsetOf0-{T}(V2,V3)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #27: input, references = 4, size of lhs = 5:
% 0.20/0.42 P_slcrc0-{F}(V0), P_xA-{F}(V1), P_xB-{F}(V2), P_xC-{F}(V3), aSubsetOf0-{F}(V1,V3) | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #28: input, references = 4, size of lhs = 0:
% 0.20/0.42 FALSE | EXISTS V0: P_slcrc0-{T}(V0)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #29: input, references = 4, size of lhs = 0:
% 0.20/0.42 FALSE | EXISTS V0: P_xA-{T}(V0)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #30: input, references = 5, size of lhs = 0:
% 0.20/0.42 FALSE | EXISTS V0: P_xB-{T}(V0)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #31: input, references = 5, size of lhs = 0:
% 0.20/0.42 FALSE | EXISTS V0: P_xC-{T}(V0)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 number of initial rules = 32
% 0.20/0.42
% 0.20/0.42 Simplifiers:
% 0.20/0.42 #32: unsound, references = 3, size of lhs = 3:
% 0.20/0.42 P_slcrc0-{F}(V0), P_slcrc0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #33: unsound, references = 3, size of lhs = 3:
% 0.20/0.42 P_xA-{F}(V0), P_xA-{F}(V1), V0 == V1 | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #34: unsound, references = 3, size of lhs = 3:
% 0.20/0.42 P_xB-{F}(V0), P_xB-{F}(V1), V0 == V1 | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #35: unsound, references = 3, size of lhs = 3:
% 0.20/0.42 P_xC-{F}(V0), P_xC-{F}(V1), V0 == V1 | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #36: unsound, references = 3, size of lhs = 3:
% 0.20/0.42 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #37: unsound, references = 3, size of lhs = 3:
% 0.20/0.42 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 number of simplifiers = 6
% 0.20/0.42
% 0.20/0.42 Learnt:
% 0.20/0.42 #41: mergings( V0 == V2; #39 ), references = 1, size of lhs = 3:
% 0.20/0.42 aSet0-{F}(V0), P_slcrc0-{F}(V1), V0 == V1 | pppp4-{T}(V0)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #46: mergings( V0 == V3, V3 == V4; #43 ), references = 2, size of lhs = 6:
% 0.20/0.42 aSet0-{F}(V0), P_xA-{F}(V0), aSet0-{F}(V1), P_xC-{F}(V1), P_slcrc0-{F}(V2), P_xB-{F}(V3) | pppp5-{T}(V1,V0)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #49: exists( #16, #47 ), references = 1, size of lhs = 3:
% 0.20/0.42 P_slcrc0-{F}(V0), pppp0-{F}(V1), pppp5-{F}(V2,V1) | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #59: mergings( V1 == V4, V4 == V6, V6 == V7, V7 == V9, V2 == V5, V3 == V8; #52 ), references = 1, size of lhs = 5:
% 0.20/0.42 aSet0-{F}(V0), P_xA-{F}(V0), pppp0-{F}(V0), P_xB-{F}(V1), P_slcrc0-{F}(V2) | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #66: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V7, V2 == V4; #60 ), references = 1, size of lhs = 4:
% 0.20/0.42 aSet0-{F}(V0), P_xA-{F}(V0), pppp0-{F}(V0), P_slcrc0-{F}(V1) | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #70: mergings( V0 == V3; #68 ), references = 1, size of lhs = 4:
% 0.20/0.42 aSet0-{F}(V0), pppp0-{F}(V0), P_slcrc0-{F}(V1), #-{F} V2 | pppp1-{T}(V2,V0)
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #79: mergings( V3 == V4; #77 ), references = 1, size of lhs = 4:
% 0.20/0.42 P_slcrc0-{F}(V0), pppp5-{F}(V1,V2), pppp1-{F}(V1,V3), pppp1-{F}(V3,V2) | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #104: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V18, V4 == V6, V6 == V10, V10 == V13, V2 == V7, V7 == V11, V11 == V15; #88 ), references = 1, size of lhs = 3:
% 0.20/0.42 P_xA-{F}(V0), P_xB-{F}(V1), P_slcrc0-{F}(V2) | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #118: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V3 == V5, V5 == V8, V8 == V10; #105 ), references = 1, size of lhs = 2:
% 0.20/0.42 P_xA-{F}(V0), P_slcrc0-{F}(V1) | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #129: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #119 ), references = 1, size of lhs = 1:
% 0.20/0.42 P_slcrc0-{F}(V0) | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 #131: exists( #28, #119 ), references = 1, size of lhs = 0:
% 0.20/0.42 FALSE | FALSE
% 0.20/0.42 (used 0 times, uses = {})
% 0.20/0.42
% 0.20/0.42 number of learnt formulas = 11
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 randbase = 1
%------------------------------------------------------------------------------